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Finding the Third Proportional to 152,725 and 335,560

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Solution

The third proportional to 152,725 and 335,560 is: 737,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,725 : 335,560 = 335,560 : x
  2. Step 2: Convert to fraction form
    152,725/335,560 = 335,560/x
  3. Step 3: Cross multiply
    152,725x = 335,560 × 335,560
  4. Step 4: Simplify right side
    152,725x = 112,600,513,600
  5. Step 5: Solve for x
    x = 112,600,513,600/152,725
  6. Step 6: Final answer
    x = 737,276.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.