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Finding the Third Proportional to 191,677.50 and 297,627.75

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Solution

The third proportional to 191,677.50 and 297,627.75 is: 462,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,677.50 : 297,627.75 = 297,627.75 : x
  2. Step 2: Convert to fraction form
    191,677.50/297,627.75 = 297,627.75/x
  3. Step 3: Cross multiply
    191,677.50x = 297,627.75 × 297,627.75
  4. Step 4: Simplify right side
    191,677.50x = 88,582,277,570.06
  5. Step 5: Solve for x
    x = 88,582,277,570.06/191,677.50
  6. Step 6: Final answer
    x = 462,142.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.