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Finding the Third Proportional to 140,134 and 307,521

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Solution

The third proportional to 140,134 and 307,521 is: 674,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,134 : 307,521 = 307,521 : x
  2. Step 2: Convert to fraction form
    140,134/307,521 = 307,521/x
  3. Step 3: Cross multiply
    140,134x = 307,521 × 307,521
  4. Step 4: Simplify right side
    140,134x = 94,569,165,441
  5. Step 5: Solve for x
    x = 94,569,165,441/140,134
  6. Step 6: Final answer
    x = 674,848.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.