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Finding the Third Proportional to 134,376 and 292,944

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Solution

The third proportional to 134,376 and 292,944 is: 638,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,376 : 292,944 = 292,944 : x
  2. Step 2: Convert to fraction form
    134,376/292,944 = 292,944/x
  3. Step 3: Cross multiply
    134,376x = 292,944 × 292,944
  4. Step 4: Simplify right side
    134,376x = 85,816,187,136
  5. Step 5: Solve for x
    x = 85,816,187,136/134,376
  6. Step 6: Final answer
    x = 638,627.34

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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.