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Finding the Third Proportional to 136,570 and 296,468

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Solution

The third proportional to 136,570 and 296,468 is: 643,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,570 : 296,468 = 296,468 : x
  2. Step 2: Convert to fraction form
    136,570/296,468 = 296,468/x
  3. Step 3: Cross multiply
    136,570x = 296,468 × 296,468
  4. Step 4: Simplify right side
    136,570x = 87,893,275,024
  5. Step 5: Solve for x
    x = 87,893,275,024/136,570
  6. Step 6: Final answer
    x = 643,576.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.