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Finding the Third Proportional to 200,715.05 and 432,763.17

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Solution

The third proportional to 200,715.05 and 432,763.17 is: 933,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.05 : 432,763.17 = 432,763.17 : x
  2. Step 2: Convert to fraction form
    200,715.05/432,763.17 = 432,763.17/x
  3. Step 3: Cross multiply
    200,715.05x = 432,763.17 × 432,763.17
  4. Step 4: Simplify right side
    200,715.05x = 187,283,962,931.31
  5. Step 5: Solve for x
    x = 187,283,962,931.31/200,715.05
  6. Step 6: Final answer
    x = 933,083.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.