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Finding the Third Proportional to 201,807.56 and 432,592.88

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Solution

The third proportional to 201,807.56 and 432,592.88 is: 927,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.56 : 432,592.88 = 432,592.88 : x
  2. Step 2: Convert to fraction form
    201,807.56/432,592.88 = 432,592.88/x
  3. Step 3: Cross multiply
    201,807.56x = 432,592.88 × 432,592.88
  4. Step 4: Simplify right side
    201,807.56x = 187,136,595,500.77
  5. Step 5: Solve for x
    x = 187,136,595,500.77/201,807.56
  6. Step 6: Final answer
    x = 927,302.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.