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Finding the Third Proportional to 152,151 and 223,918.50

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Solution

The third proportional to 152,151 and 223,918.50 is: 329,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,151 : 223,918.50 = 223,918.50 : x
  2. Step 2: Convert to fraction form
    152,151/223,918.50 = 223,918.50/x
  3. Step 3: Cross multiply
    152,151x = 223,918.50 × 223,918.50
  4. Step 4: Simplify right side
    152,151x = 50,139,494,642.25
  5. Step 5: Solve for x
    x = 50,139,494,642.25/152,151
  6. Step 6: Final answer
    x = 329,537.73

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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.