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Finding the Third Proportional to 135,020.50 and 295,457

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Solution

The third proportional to 135,020.50 and 295,457 is: 646,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.50 : 295,457 = 295,457 : x
  2. Step 2: Convert to fraction form
    135,020.50/295,457 = 295,457/x
  3. Step 3: Cross multiply
    135,020.50x = 295,457 × 295,457
  4. Step 4: Simplify right side
    135,020.50x = 87,294,838,849
  5. Step 5: Solve for x
    x = 87,294,838,849/135,020.50
  6. Step 6: Final answer
    x = 646,530.26

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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.