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Finding the Third Proportional to 152,774.44 and 328,952.81

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Solution

The third proportional to 152,774.44 and 328,952.81 is: 708,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774.44 : 328,952.81 = 328,952.81 : x
  2. Step 2: Convert to fraction form
    152,774.44/328,952.81 = 328,952.81/x
  3. Step 3: Cross multiply
    152,774.44x = 328,952.81 × 328,952.81
  4. Step 4: Simplify right side
    152,774.44x = 108,209,952,851.66
  5. Step 5: Solve for x
    x = 108,209,952,851.66/152,774.44
  6. Step 6: Final answer
    x = 708,298.81

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Why These Related Problems?

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