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Finding the Third Proportional to 151,284.80 and 329,181.47

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Solution

The third proportional to 151,284.80 and 329,181.47 is: 716,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284.80 : 329,181.47 = 329,181.47 : x
  2. Step 2: Convert to fraction form
    151,284.80/329,181.47 = 329,181.47/x
  3. Step 3: Cross multiply
    151,284.80x = 329,181.47 × 329,181.47
  4. Step 4: Simplify right side
    151,284.80x = 108,360,439,368.41
  5. Step 5: Solve for x
    x = 108,360,439,368.41/151,284.80
  6. Step 6: Final answer
    x = 716,267.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.