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Finding the Third Proportional to 237,428 and 369,758

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Solution

The third proportional to 237,428 and 369,758 is: 575,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,428 : 369,758 = 369,758 : x
  2. Step 2: Convert to fraction form
    237,428/369,758 = 369,758/x
  3. Step 3: Cross multiply
    237,428x = 369,758 × 369,758
  4. Step 4: Simplify right side
    237,428x = 136,720,978,564
  5. Step 5: Solve for x
    x = 136,720,978,564/237,428
  6. Step 6: Final answer
    x = 575,841.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.