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Finding the Third Proportional to 149,559 and 229,882.50

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Solution

The third proportional to 149,559 and 229,882.50 is: 353,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559 : 229,882.50 = 229,882.50 : x
  2. Step 2: Convert to fraction form
    149,559/229,882.50 = 229,882.50/x
  3. Step 3: Cross multiply
    149,559x = 229,882.50 × 229,882.50
  4. Step 4: Simplify right side
    149,559x = 52,845,963,806.25
  5. Step 5: Solve for x
    x = 52,845,963,806.25/149,559
  6. Step 6: Final answer
    x = 353,345.26

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