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Finding the Third Proportional to 191,754 and 286,537.50

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Solution

The third proportional to 191,754 and 286,537.50 is: 428,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,754 : 286,537.50 = 286,537.50 : x
  2. Step 2: Convert to fraction form
    191,754/286,537.50 = 286,537.50/x
  3. Step 3: Cross multiply
    191,754x = 286,537.50 × 286,537.50
  4. Step 4: Simplify right side
    191,754x = 82,103,738,906.25
  5. Step 5: Solve for x
    x = 82,103,738,906.25/191,754
  6. Step 6: Final answer
    x = 428,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.