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Finding the Third Proportional to 199,901.25 and 307,276.88

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Solution

The third proportional to 199,901.25 and 307,276.88 is: 472,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,901.25 : 307,276.88 = 307,276.88 : x
  2. Step 2: Convert to fraction form
    199,901.25/307,276.88 = 307,276.88/x
  3. Step 3: Cross multiply
    199,901.25x = 307,276.88 × 307,276.88
  4. Step 4: Simplify right side
    199,901.25x = 94,419,077,909.77
  5. Step 5: Solve for x
    x = 94,419,077,909.77/199,901.25
  6. Step 6: Final answer
    x = 472,328.60

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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.