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Finding the Third Proportional to 148,565 and 223,557

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Solution

The third proportional to 148,565 and 223,557 is: 336,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,565 : 223,557 = 223,557 : x
  2. Step 2: Convert to fraction form
    148,565/223,557 = 223,557/x
  3. Step 3: Cross multiply
    148,565x = 223,557 × 223,557
  4. Step 4: Simplify right side
    148,565x = 49,977,732,249
  5. Step 5: Solve for x
    x = 49,977,732,249/148,565
  6. Step 6: Final answer
    x = 336,403.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.