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Finding the Third Proportional to 208,454.13 and 345,010.64

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Solution

The third proportional to 208,454.13 and 345,010.64 is: 571,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,454.13 : 345,010.64 = 345,010.64 : x
  2. Step 2: Convert to fraction form
    208,454.13/345,010.64 = 345,010.64/x
  3. Step 3: Cross multiply
    208,454.13x = 345,010.64 × 345,010.64
  4. Step 4: Simplify right side
    208,454.13x = 119,032,342,144.47
  5. Step 5: Solve for x
    x = 119,032,342,144.47/208,454.13
  6. Step 6: Final answer
    x = 571,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.