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Finding the Third Proportional to 135,594 and 202,570.88

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Solution

The third proportional to 135,594 and 202,570.88 is: 302,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594 : 202,570.88 = 202,570.88 : x
  2. Step 2: Convert to fraction form
    135,594/202,570.88 = 202,570.88/x
  3. Step 3: Cross multiply
    135,594x = 202,570.88 × 202,570.88
  4. Step 4: Simplify right side
    135,594x = 41,034,959,398.27
  5. Step 5: Solve for x
    x = 41,034,959,398.27/135,594
  6. Step 6: Final answer
    x = 302,631.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.