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Finding the Third Proportional to 240,666 and 374,161.50

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Solution

The third proportional to 240,666 and 374,161.50 is: 581,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,666 : 374,161.50 = 374,161.50 : x
  2. Step 2: Convert to fraction form
    240,666/374,161.50 = 374,161.50/x
  3. Step 3: Cross multiply
    240,666x = 374,161.50 × 374,161.50
  4. Step 4: Simplify right side
    240,666x = 139,996,828,082.25
  5. Step 5: Solve for x
    x = 139,996,828,082.25/240,666
  6. Step 6: Final answer
    x = 581,705.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.