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Finding the Third Proportional to 134,594 and 292,760

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Solution

The third proportional to 134,594 and 292,760 is: 636,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,594 : 292,760 = 292,760 : x
  2. Step 2: Convert to fraction form
    134,594/292,760 = 292,760/x
  3. Step 3: Cross multiply
    134,594x = 292,760 × 292,760
  4. Step 4: Simplify right side
    134,594x = 85,708,417,600
  5. Step 5: Solve for x
    x = 85,708,417,600/134,594
  6. Step 6: Final answer
    x = 636,792.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.