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Finding the Third Proportional to 151,391 and 235,088

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Solution

The third proportional to 151,391 and 235,088 is: 365,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,391 : 235,088 = 235,088 : x
  2. Step 2: Convert to fraction form
    151,391/235,088 = 235,088/x
  3. Step 3: Cross multiply
    151,391x = 235,088 × 235,088
  4. Step 4: Simplify right side
    151,391x = 55,266,367,744
  5. Step 5: Solve for x
    x = 55,266,367,744/151,391
  6. Step 6: Final answer
    x = 365,057.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.