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Finding the Third Proportional to 243,051 and 356,368

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Solution

The third proportional to 243,051 and 356,368 is: 522,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,051 : 356,368 = 356,368 : x
  2. Step 2: Convert to fraction form
    243,051/356,368 = 356,368/x
  3. Step 3: Cross multiply
    243,051x = 356,368 × 356,368
  4. Step 4: Simplify right side
    243,051x = 126,998,151,424
  5. Step 5: Solve for x
    x = 126,998,151,424/243,051
  6. Step 6: Final answer
    x = 522,516.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.