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Finding the Third Proportional to 134,352 and 293,265

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Solution

The third proportional to 134,352 and 293,265 is: 640,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,352 : 293,265 = 293,265 : x
  2. Step 2: Convert to fraction form
    134,352/293,265 = 293,265/x
  3. Step 3: Cross multiply
    134,352x = 293,265 × 293,265
  4. Step 4: Simplify right side
    134,352x = 86,004,360,225
  5. Step 5: Solve for x
    x = 86,004,360,225/134,352
  6. Step 6: Final answer
    x = 640,142.02

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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.