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Finding the Third Proportional to 119,388 and 250,248

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Solution

The third proportional to 119,388 and 250,248 is: 524,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,388 : 250,248 = 250,248 : x
  2. Step 2: Convert to fraction form
    119,388/250,248 = 250,248/x
  3. Step 3: Cross multiply
    119,388x = 250,248 × 250,248
  4. Step 4: Simplify right side
    119,388x = 62,624,061,504
  5. Step 5: Solve for x
    x = 62,624,061,504/119,388
  6. Step 6: Final answer
    x = 524,542.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.