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Finding the Third Proportional to 152,707.50 and 328,828.50

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Solution

The third proportional to 152,707.50 and 328,828.50 is: 708,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707.50 : 328,828.50 = 328,828.50 : x
  2. Step 2: Convert to fraction form
    152,707.50/328,828.50 = 328,828.50/x
  3. Step 3: Cross multiply
    152,707.50x = 328,828.50 × 328,828.50
  4. Step 4: Simplify right side
    152,707.50x = 108,128,182,412.25
  5. Step 5: Solve for x
    x = 108,128,182,412.25/152,707.50
  6. Step 6: Final answer
    x = 708,073.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.