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Finding the Third Proportional to 158,598 and 233,514

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Solution

The third proportional to 158,598 and 233,514 is: 343,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 233,514 = 233,514 : x
  2. Step 2: Convert to fraction form
    158,598/233,514 = 233,514/x
  3. Step 3: Cross multiply
    158,598x = 233,514 × 233,514
  4. Step 4: Simplify right side
    158,598x = 54,528,788,196
  5. Step 5: Solve for x
    x = 54,528,788,196/158,598
  6. Step 6: Final answer
    x = 343,817.63

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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.