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Finding the Third Proportional to 169,248 and 261,210

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Solution

The third proportional to 169,248 and 261,210 is: 403,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,248 : 261,210 = 261,210 : x
  2. Step 2: Convert to fraction form
    169,248/261,210 = 261,210/x
  3. Step 3: Cross multiply
    169,248x = 261,210 × 261,210
  4. Step 4: Simplify right side
    169,248x = 68,230,664,100
  5. Step 5: Solve for x
    x = 68,230,664,100/169,248
  6. Step 6: Final answer
    x = 403,140.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.