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Finding the Third Proportional to 191,785.50 and 297,769.50

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Solution

The third proportional to 191,785.50 and 297,769.50 is: 462,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,785.50 : 297,769.50 = 297,769.50 : x
  2. Step 2: Convert to fraction form
    191,785.50/297,769.50 = 297,769.50/x
  3. Step 3: Cross multiply
    191,785.50x = 297,769.50 × 297,769.50
  4. Step 4: Simplify right side
    191,785.50x = 88,666,675,130.25
  5. Step 5: Solve for x
    x = 88,666,675,130.25/191,785.50
  6. Step 6: Final answer
    x = 462,322.10

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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.