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Finding the Third Proportional to 134,577 and 283,090

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Solution

The third proportional to 134,577 and 283,090 is: 595,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,577 : 283,090 = 283,090 : x
  2. Step 2: Convert to fraction form
    134,577/283,090 = 283,090/x
  3. Step 3: Cross multiply
    134,577x = 283,090 × 283,090
  4. Step 4: Simplify right side
    134,577x = 80,139,948,100
  5. Step 5: Solve for x
    x = 80,139,948,100/134,577
  6. Step 6: Final answer
    x = 595,495.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.