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Finding the Third Proportional to 151,762 and 222,722.50

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Solution

The third proportional to 151,762 and 222,722.50 is: 326,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762 : 222,722.50 = 222,722.50 : x
  2. Step 2: Convert to fraction form
    151,762/222,722.50 = 222,722.50/x
  3. Step 3: Cross multiply
    151,762x = 222,722.50 × 222,722.50
  4. Step 4: Simplify right side
    151,762x = 49,605,312,006.25
  5. Step 5: Solve for x
    x = 49,605,312,006.25/151,762
  6. Step 6: Final answer
    x = 326,862.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.