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Finding the Third Proportional to 151,409 and 235,111

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Solution

The third proportional to 151,409 and 235,111 is: 365,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,409 : 235,111 = 235,111 : x
  2. Step 2: Convert to fraction form
    151,409/235,111 = 235,111/x
  3. Step 3: Cross multiply
    151,409x = 235,111 × 235,111
  4. Step 4: Simplify right side
    151,409x = 55,277,182,321
  5. Step 5: Solve for x
    x = 55,277,182,321/151,409
  6. Step 6: Final answer
    x = 365,085.18

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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.