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Finding the Third Proportional to 145,350 and 308,292

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Solution

The third proportional to 145,350 and 308,292 is: 653,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,350 : 308,292 = 308,292 : x
  2. Step 2: Convert to fraction form
    145,350/308,292 = 308,292/x
  3. Step 3: Cross multiply
    145,350x = 308,292 × 308,292
  4. Step 4: Simplify right side
    145,350x = 95,043,957,264
  5. Step 5: Solve for x
    x = 95,043,957,264/145,350
  6. Step 6: Final answer
    x = 653,897.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.