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Finding the Third Proportional to 152,959.13 and 328,054.13

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Solution

The third proportional to 152,959.13 and 328,054.13 is: 703,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,959.13 : 328,054.13 = 328,054.13 : x
  2. Step 2: Convert to fraction form
    152,959.13/328,054.13 = 328,054.13/x
  3. Step 3: Cross multiply
    152,959.13x = 328,054.13 × 328,054.13
  4. Step 4: Simplify right side
    152,959.13x = 107,619,508,929.52
  5. Step 5: Solve for x
    x = 107,619,508,929.52/152,959.13
  6. Step 6: Final answer
    x = 703,583.45

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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.