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Finding the Third Proportional to 145,610.50 and 223,502.50

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Solution

The third proportional to 145,610.50 and 223,502.50 is: 343,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,610.50 : 223,502.50 = 223,502.50 : x
  2. Step 2: Convert to fraction form
    145,610.50/223,502.50 = 223,502.50/x
  3. Step 3: Cross multiply
    145,610.50x = 223,502.50 × 223,502.50
  4. Step 4: Simplify right side
    145,610.50x = 49,953,367,506.25
  5. Step 5: Solve for x
    x = 49,953,367,506.25/145,610.50
  6. Step 6: Final answer
    x = 343,061.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.