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Finding the Third Proportional to 204,854 and 310,143

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Solution

The third proportional to 204,854 and 310,143 is: 469,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,854 : 310,143 = 310,143 : x
  2. Step 2: Convert to fraction form
    204,854/310,143 = 310,143/x
  3. Step 3: Cross multiply
    204,854x = 310,143 × 310,143
  4. Step 4: Simplify right side
    204,854x = 96,188,680,449
  5. Step 5: Solve for x
    x = 96,188,680,449/204,854
  6. Step 6: Final answer
    x = 469,547.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.