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Finding the Third Proportional to 158,552 and 230,700

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Solution

The third proportional to 158,552 and 230,700 is: 335,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,552 : 230,700 = 230,700 : x
  2. Step 2: Convert to fraction form
    158,552/230,700 = 230,700/x
  3. Step 3: Cross multiply
    158,552x = 230,700 × 230,700
  4. Step 4: Simplify right side
    158,552x = 53,222,490,000
  5. Step 5: Solve for x
    x = 53,222,490,000/158,552
  6. Step 6: Final answer
    x = 335,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.