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Finding the Third Proportional to 159,792 and 349,648.50

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Solution

The third proportional to 159,792 and 349,648.50 is: 765,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,792 : 349,648.50 = 349,648.50 : x
  2. Step 2: Convert to fraction form
    159,792/349,648.50 = 349,648.50/x
  3. Step 3: Cross multiply
    159,792x = 349,648.50 × 349,648.50
  4. Step 4: Simplify right side
    159,792x = 122,254,073,552.25
  5. Step 5: Solve for x
    x = 122,254,073,552.25/159,792
  6. Step 6: Final answer
    x = 765,082.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.