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Finding the Third Proportional to 200,501 and 291,729

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Solution

The third proportional to 200,501 and 291,729 is: 424,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,501 : 291,729 = 291,729 : x
  2. Step 2: Convert to fraction form
    200,501/291,729 = 291,729/x
  3. Step 3: Cross multiply
    200,501x = 291,729 × 291,729
  4. Step 4: Simplify right side
    200,501x = 85,105,809,441
  5. Step 5: Solve for x
    x = 85,105,809,441/200,501
  6. Step 6: Final answer
    x = 424,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.