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Finding the Third Proportional to 260,853 and 349,402.50

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Solution

The third proportional to 260,853 and 349,402.50 is: 468,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853 : 349,402.50 = 349,402.50 : x
  2. Step 2: Convert to fraction form
    260,853/349,402.50 = 349,402.50/x
  3. Step 3: Cross multiply
    260,853x = 349,402.50 × 349,402.50
  4. Step 4: Simplify right side
    260,853x = 122,082,107,006.25
  5. Step 5: Solve for x
    x = 122,082,107,006.25/260,853
  6. Step 6: Final answer
    x = 468,011.13

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.