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Finding the Third Proportional to 152,217.75 and 328,826.25

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Solution

The third proportional to 152,217.75 and 328,826.25 is: 710,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,217.75 : 328,826.25 = 328,826.25 : x
  2. Step 2: Convert to fraction form
    152,217.75/328,826.25 = 328,826.25/x
  3. Step 3: Cross multiply
    152,217.75x = 328,826.25 × 328,826.25
  4. Step 4: Simplify right side
    152,217.75x = 108,126,702,689.06
  5. Step 5: Solve for x
    x = 108,126,702,689.06/152,217.75
  6. Step 6: Final answer
    x = 710,342.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.