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Finding the Third Proportional to 151,437.75 and 220,584

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Solution

The third proportional to 151,437.75 and 220,584 is: 321,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,437.75 : 220,584 = 220,584 : x
  2. Step 2: Convert to fraction form
    151,437.75/220,584 = 220,584/x
  3. Step 3: Cross multiply
    151,437.75x = 220,584 × 220,584
  4. Step 4: Simplify right side
    151,437.75x = 48,657,301,056
  5. Step 5: Solve for x
    x = 48,657,301,056/151,437.75
  6. Step 6: Final answer
    x = 321,302.32

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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.