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Finding the Third Proportional to 191,107.50 and 287,139

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Solution

The third proportional to 191,107.50 and 287,139 is: 431,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,107.50 : 287,139 = 287,139 : x
  2. Step 2: Convert to fraction form
    191,107.50/287,139 = 287,139/x
  3. Step 3: Cross multiply
    191,107.50x = 287,139 × 287,139
  4. Step 4: Simplify right side
    191,107.50x = 82,448,805,321
  5. Step 5: Solve for x
    x = 82,448,805,321/191,107.50
  6. Step 6: Final answer
    x = 431,426.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.