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Finding the Third Proportional to 134,991 and 293,292

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Solution

The third proportional to 134,991 and 293,292 is: 637,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,991 : 293,292 = 293,292 : x
  2. Step 2: Convert to fraction form
    134,991/293,292 = 293,292/x
  3. Step 3: Cross multiply
    134,991x = 293,292 × 293,292
  4. Step 4: Simplify right side
    134,991x = 86,020,197,264
  5. Step 5: Solve for x
    x = 86,020,197,264/134,991
  6. Step 6: Final answer
    x = 637,229.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.