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Finding the Third Proportional to 148,092 and 312,708

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Solution

The third proportional to 148,092 and 312,708 is: 660,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,092 : 312,708 = 312,708 : x
  2. Step 2: Convert to fraction form
    148,092/312,708 = 312,708/x
  3. Step 3: Cross multiply
    148,092x = 312,708 × 312,708
  4. Step 4: Simplify right side
    148,092x = 97,786,293,264
  5. Step 5: Solve for x
    x = 97,786,293,264/148,092
  6. Step 6: Final answer
    x = 660,307.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.