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Finding the Third Proportional to 163,638 and 240,061.50

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Solution

The third proportional to 163,638 and 240,061.50 is: 352,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,638 : 240,061.50 = 240,061.50 : x
  2. Step 2: Convert to fraction form
    163,638/240,061.50 = 240,061.50/x
  3. Step 3: Cross multiply
    163,638x = 240,061.50 × 240,061.50
  4. Step 4: Simplify right side
    163,638x = 57,629,523,782.25
  5. Step 5: Solve for x
    x = 57,629,523,782.25/163,638
  6. Step 6: Final answer
    x = 352,176.90

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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.