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Finding the Third Proportional to 152,965.50 and 328,073.50

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Solution

The third proportional to 152,965.50 and 328,073.50 is: 703,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,965.50 : 328,073.50 = 328,073.50 : x
  2. Step 2: Convert to fraction form
    152,965.50/328,073.50 = 328,073.50/x
  3. Step 3: Cross multiply
    152,965.50x = 328,073.50 × 328,073.50
  4. Step 4: Simplify right side
    152,965.50x = 107,632,221,402.25
  5. Step 5: Solve for x
    x = 107,632,221,402.25/152,965.50
  6. Step 6: Final answer
    x = 703,637.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.