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Finding the Third Proportional to 153,499 and 325,520

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Solution

The third proportional to 153,499 and 325,520 is: 690,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,499 : 325,520 = 325,520 : x
  2. Step 2: Convert to fraction form
    153,499/325,520 = 325,520/x
  3. Step 3: Cross multiply
    153,499x = 325,520 × 325,520
  4. Step 4: Simplify right side
    153,499x = 105,963,270,400
  5. Step 5: Solve for x
    x = 105,963,270,400/153,499
  6. Step 6: Final answer
    x = 690,318.96

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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.