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Finding the Third Proportional to 201,869.25 and 424,663.50

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Solution

The third proportional to 201,869.25 and 424,663.50 is: 893,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869.25 : 424,663.50 = 424,663.50 : x
  2. Step 2: Convert to fraction form
    201,869.25/424,663.50 = 424,663.50/x
  3. Step 3: Cross multiply
    201,869.25x = 424,663.50 × 424,663.50
  4. Step 4: Simplify right side
    201,869.25x = 180,339,088,232.25
  5. Step 5: Solve for x
    x = 180,339,088,232.25/201,869.25
  6. Step 6: Final answer
    x = 893,346.01

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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.