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Finding the Third Proportional to 137,445 and 291,738

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Solution

The third proportional to 137,445 and 291,738 is: 619,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,445 : 291,738 = 291,738 : x
  2. Step 2: Convert to fraction form
    137,445/291,738 = 291,738/x
  3. Step 3: Cross multiply
    137,445x = 291,738 × 291,738
  4. Step 4: Simplify right side
    137,445x = 85,111,060,644
  5. Step 5: Solve for x
    x = 85,111,060,644/137,445
  6. Step 6: Final answer
    x = 619,237.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.