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Finding the Third Proportional to 134,466 and 293,383.50

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Solution

The third proportional to 134,466 and 293,383.50 is: 640,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,466 : 293,383.50 = 293,383.50 : x
  2. Step 2: Convert to fraction form
    134,466/293,383.50 = 293,383.50/x
  3. Step 3: Cross multiply
    134,466x = 293,383.50 × 293,383.50
  4. Step 4: Simplify right side
    134,466x = 86,073,878,072.25
  5. Step 5: Solve for x
    x = 86,073,878,072.25/134,466
  6. Step 6: Final answer
    x = 640,116.30

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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.