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Finding the Third Proportional to 134,334 and 293,580

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Solution

The third proportional to 134,334 and 293,580 is: 641,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,334 : 293,580 = 293,580 : x
  2. Step 2: Convert to fraction form
    134,334/293,580 = 293,580/x
  3. Step 3: Cross multiply
    134,334x = 293,580 × 293,580
  4. Step 4: Simplify right side
    134,334x = 86,189,216,400
  5. Step 5: Solve for x
    x = 86,189,216,400/134,334
  6. Step 6: Final answer
    x = 641,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.