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Finding the Third Proportional to 110,824.50 and 237,403.50

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Solution

The third proportional to 110,824.50 and 237,403.50 is: 508,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,824.50 : 237,403.50 = 237,403.50 : x
  2. Step 2: Convert to fraction form
    110,824.50/237,403.50 = 237,403.50/x
  3. Step 3: Cross multiply
    110,824.50x = 237,403.50 × 237,403.50
  4. Step 4: Simplify right side
    110,824.50x = 56,360,421,812.25
  5. Step 5: Solve for x
    x = 56,360,421,812.25/110,824.50
  6. Step 6: Final answer
    x = 508,555.62

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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.