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Finding the Third Proportional to 237,115 and 355,681

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Solution

The third proportional to 237,115 and 355,681 is: 533,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,115 : 355,681 = 355,681 : x
  2. Step 2: Convert to fraction form
    237,115/355,681 = 355,681/x
  3. Step 3: Cross multiply
    237,115x = 355,681 × 355,681
  4. Step 4: Simplify right side
    237,115x = 126,508,973,761
  5. Step 5: Solve for x
    x = 126,508,973,761/237,115
  6. Step 6: Final answer
    x = 533,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.