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Finding the Third Proportional to 161,475 and 240,364.50

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Solution

The third proportional to 161,475 and 240,364.50 is: 357,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,475 : 240,364.50 = 240,364.50 : x
  2. Step 2: Convert to fraction form
    161,475/240,364.50 = 240,364.50/x
  3. Step 3: Cross multiply
    161,475x = 240,364.50 × 240,364.50
  4. Step 4: Simplify right side
    161,475x = 57,775,092,860.25
  5. Step 5: Solve for x
    x = 57,775,092,860.25/161,475
  6. Step 6: Final answer
    x = 357,795.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.