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Finding the Third Proportional to 159,074 and 233,263

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Solution

The third proportional to 159,074 and 233,263 is: 342,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,074 : 233,263 = 233,263 : x
  2. Step 2: Convert to fraction form
    159,074/233,263 = 233,263/x
  3. Step 3: Cross multiply
    159,074x = 233,263 × 233,263
  4. Step 4: Simplify right side
    159,074x = 54,411,627,169
  5. Step 5: Solve for x
    x = 54,411,627,169/159,074
  6. Step 6: Final answer
    x = 342,052.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.