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Finding the Third Proportional to 137,404 and 292,808

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Solution

The third proportional to 137,404 and 292,808 is: 623,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,404 : 292,808 = 292,808 : x
  2. Step 2: Convert to fraction form
    137,404/292,808 = 292,808/x
  3. Step 3: Cross multiply
    137,404x = 292,808 × 292,808
  4. Step 4: Simplify right side
    137,404x = 85,736,524,864
  5. Step 5: Solve for x
    x = 85,736,524,864/137,404
  6. Step 6: Final answer
    x = 623,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.