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Finding the Third Proportional to 142,417 and 221,401.50

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Solution

The third proportional to 142,417 and 221,401.50 is: 344,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,417 : 221,401.50 = 221,401.50 : x
  2. Step 2: Convert to fraction form
    142,417/221,401.50 = 221,401.50/x
  3. Step 3: Cross multiply
    142,417x = 221,401.50 × 221,401.50
  4. Step 4: Simplify right side
    142,417x = 49,018,624,202.25
  5. Step 5: Solve for x
    x = 49,018,624,202.25/142,417
  6. Step 6: Final answer
    x = 344,190.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.