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Finding the Third Proportional to 134,830 and 292,577

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Solution

The third proportional to 134,830 and 292,577 is: 634,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,830 : 292,577 = 292,577 : x
  2. Step 2: Convert to fraction form
    134,830/292,577 = 292,577/x
  3. Step 3: Cross multiply
    134,830x = 292,577 × 292,577
  4. Step 4: Simplify right side
    134,830x = 85,601,300,929
  5. Step 5: Solve for x
    x = 85,601,300,929/134,830
  6. Step 6: Final answer
    x = 634,883.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.