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Finding the Third Proportional to 201,874.50 and 424,663.88

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Solution

The third proportional to 201,874.50 and 424,663.88 is: 893,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.50 : 424,663.88 = 424,663.88 : x
  2. Step 2: Convert to fraction form
    201,874.50/424,663.88 = 424,663.88/x
  3. Step 3: Cross multiply
    201,874.50x = 424,663.88 × 424,663.88
  4. Step 4: Simplify right side
    201,874.50x = 180,339,406,730.02
  5. Step 5: Solve for x
    x = 180,339,406,730.02/201,874.50
  6. Step 6: Final answer
    x = 893,324.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.