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Finding the Third Proportional to 134,600 and 292,772

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Solution

The third proportional to 134,600 and 292,772 is: 636,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,600 : 292,772 = 292,772 : x
  2. Step 2: Convert to fraction form
    134,600/292,772 = 292,772/x
  3. Step 3: Cross multiply
    134,600x = 292,772 × 292,772
  4. Step 4: Simplify right side
    134,600x = 85,715,443,984
  5. Step 5: Solve for x
    x = 85,715,443,984/134,600
  6. Step 6: Final answer
    x = 636,816.08

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