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Finding the Third Proportional to 237,188.39 and 508,275.28

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Solution

The third proportional to 237,188.39 and 508,275.28 is: 1,089,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,188.39 : 508,275.28 = 508,275.28 : x
  2. Step 2: Convert to fraction form
    237,188.39/508,275.28 = 508,275.28/x
  3. Step 3: Cross multiply
    237,188.39x = 508,275.28 × 508,275.28
  4. Step 4: Simplify right side
    237,188.39x = 258,343,761,529.77
  5. Step 5: Solve for x
    x = 258,343,761,529.77/237,188.39
  6. Step 6: Final answer
    x = 1,089,192.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.