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Finding the Third Proportional to 152,965.13 and 328,063.50

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Solution

The third proportional to 152,965.13 and 328,063.50 is: 703,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,965.13 : 328,063.50 = 328,063.50 : x
  2. Step 2: Convert to fraction form
    152,965.13/328,063.50 = 328,063.50/x
  3. Step 3: Cross multiply
    152,965.13x = 328,063.50 × 328,063.50
  4. Step 4: Simplify right side
    152,965.13x = 107,625,660,032.25
  5. Step 5: Solve for x
    x = 107,625,660,032.25/152,965.13
  6. Step 6: Final answer
    x = 703,596.07

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Why These Related Problems?

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