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Finding the Third Proportional to 153,021.66 and 325,711.13

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Solution

The third proportional to 153,021.66 and 325,711.13 is: 693,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,021.66 : 325,711.13 = 325,711.13 : x
  2. Step 2: Convert to fraction form
    153,021.66/325,711.13 = 325,711.13/x
  3. Step 3: Cross multiply
    153,021.66x = 325,711.13 × 325,711.13
  4. Step 4: Simplify right side
    153,021.66x = 106,087,736,948.77
  5. Step 5: Solve for x
    x = 106,087,736,948.77/153,021.66
  6. Step 6: Final answer
    x = 693,285.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.