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Finding the Third Proportional to 148,548 and 243,854

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Solution

The third proportional to 148,548 and 243,854 is: 400,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,548 : 243,854 = 243,854 : x
  2. Step 2: Convert to fraction form
    148,548/243,854 = 243,854/x
  3. Step 3: Cross multiply
    148,548x = 243,854 × 243,854
  4. Step 4: Simplify right side
    148,548x = 59,464,773,316
  5. Step 5: Solve for x
    x = 59,464,773,316/148,548
  6. Step 6: Final answer
    x = 400,306.79

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.