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Finding the Third Proportional to 204,142 and 306,417

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Solution

The third proportional to 204,142 and 306,417 is: 459,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,142 : 306,417 = 306,417 : x
  2. Step 2: Convert to fraction form
    204,142/306,417 = 306,417/x
  3. Step 3: Cross multiply
    204,142x = 306,417 × 306,417
  4. Step 4: Simplify right side
    204,142x = 93,891,377,889
  5. Step 5: Solve for x
    x = 93,891,377,889/204,142
  6. Step 6: Final answer
    x = 459,931.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.