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Finding the Third Proportional to 154,560 and 337,248

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Solution

The third proportional to 154,560 and 337,248 is: 735,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,560 : 337,248 = 337,248 : x
  2. Step 2: Convert to fraction form
    154,560/337,248 = 337,248/x
  3. Step 3: Cross multiply
    154,560x = 337,248 × 337,248
  4. Step 4: Simplify right side
    154,560x = 113,736,213,504
  5. Step 5: Solve for x
    x = 113,736,213,504/154,560
  6. Step 6: Final answer
    x = 735,870.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.