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Finding the Third Proportional to 151,002.50 and 221,428

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Solution

The third proportional to 151,002.50 and 221,428 is: 324,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,002.50 : 221,428 = 221,428 : x
  2. Step 2: Convert to fraction form
    151,002.50/221,428 = 221,428/x
  3. Step 3: Cross multiply
    151,002.50x = 221,428 × 221,428
  4. Step 4: Simplify right side
    151,002.50x = 49,030,359,184
  5. Step 5: Solve for x
    x = 49,030,359,184/151,002.50
  6. Step 6: Final answer
    x = 324,698.99

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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.