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Finding the Third Proportional to 191,332 and 297,933

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Solution

The third proportional to 191,332 and 297,933 is: 463,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,332 : 297,933 = 297,933 : x
  2. Step 2: Convert to fraction form
    191,332/297,933 = 297,933/x
  3. Step 3: Cross multiply
    191,332x = 297,933 × 297,933
  4. Step 4: Simplify right side
    191,332x = 88,764,072,489
  5. Step 5: Solve for x
    x = 88,764,072,489/191,332
  6. Step 6: Final answer
    x = 463,926.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.