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Finding the Third Proportional to 119,280 and 257,243

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Solution

The third proportional to 119,280 and 257,243 is: 554,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280 : 257,243 = 257,243 : x
  2. Step 2: Convert to fraction form
    119,280/257,243 = 257,243/x
  3. Step 3: Cross multiply
    119,280x = 257,243 × 257,243
  4. Step 4: Simplify right side
    119,280x = 66,173,961,049
  5. Step 5: Solve for x
    x = 66,173,961,049/119,280
  6. Step 6: Final answer
    x = 554,778.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.