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Finding the Third Proportional to 237,188.25 and 366,866.25

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Solution

The third proportional to 237,188.25 and 366,866.25 is: 567,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,188.25 : 366,866.25 = 366,866.25 : x
  2. Step 2: Convert to fraction form
    237,188.25/366,866.25 = 366,866.25/x
  3. Step 3: Cross multiply
    237,188.25x = 366,866.25 × 366,866.25
  4. Step 4: Simplify right side
    237,188.25x = 134,590,845,389.06
  5. Step 5: Solve for x
    x = 134,590,845,389.06/237,188.25
  6. Step 6: Final answer
    x = 567,443.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.