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Finding the Third Proportional to 140,445.56 and 307,166.34

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Solution

The third proportional to 140,445.56 and 307,166.34 is: 671,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,445.56 : 307,166.34 = 307,166.34 : x
  2. Step 2: Convert to fraction form
    140,445.56/307,166.34 = 307,166.34/x
  3. Step 3: Cross multiply
    140,445.56x = 307,166.34 × 307,166.34
  4. Step 4: Simplify right side
    140,445.56x = 94,351,162,732.74
  5. Step 5: Solve for x
    x = 94,351,162,732.74/140,445.56
  6. Step 6: Final answer
    x = 671,798.82

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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.