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Finding the Third Proportional to 151,570 and 233,673

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Solution

The third proportional to 151,570 and 233,673 is: 360,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,570 : 233,673 = 233,673 : x
  2. Step 2: Convert to fraction form
    151,570/233,673 = 233,673/x
  3. Step 3: Cross multiply
    151,570x = 233,673 × 233,673
  4. Step 4: Simplify right side
    151,570x = 54,603,070,929
  5. Step 5: Solve for x
    x = 54,603,070,929/151,570
  6. Step 6: Final answer
    x = 360,249.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.