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Finding the Third Proportional to 135,020 and 295,466

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Solution

The third proportional to 135,020 and 295,466 is: 646,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020 : 295,466 = 295,466 : x
  2. Step 2: Convert to fraction form
    135,020/295,466 = 295,466/x
  3. Step 3: Cross multiply
    135,020x = 295,466 × 295,466
  4. Step 4: Simplify right side
    135,020x = 87,300,157,156
  5. Step 5: Solve for x
    x = 87,300,157,156/135,020
  6. Step 6: Final answer
    x = 646,572.04

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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.