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Finding the Third Proportional to 159,054 and 233,808

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Solution

The third proportional to 159,054 and 233,808 is: 343,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,054 : 233,808 = 233,808 : x
  2. Step 2: Convert to fraction form
    159,054/233,808 = 233,808/x
  3. Step 3: Cross multiply
    159,054x = 233,808 × 233,808
  4. Step 4: Simplify right side
    159,054x = 54,666,180,864
  5. Step 5: Solve for x
    x = 54,666,180,864/159,054
  6. Step 6: Final answer
    x = 343,695.73

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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.