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Finding the Third Proportional to 205,602 and 316,426.50

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Solution

The third proportional to 205,602 and 316,426.50 is: 486,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,602 : 316,426.50 = 316,426.50 : x
  2. Step 2: Convert to fraction form
    205,602/316,426.50 = 316,426.50/x
  3. Step 3: Cross multiply
    205,602x = 316,426.50 × 316,426.50
  4. Step 4: Simplify right side
    205,602x = 100,125,729,902.25
  5. Step 5: Solve for x
    x = 100,125,729,902.25/205,602
  6. Step 6: Final answer
    x = 486,988.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.