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Finding the Third Proportional to 119,358 and 251,004

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Solution

The third proportional to 119,358 and 251,004 is: 527,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,358 : 251,004 = 251,004 : x
  2. Step 2: Convert to fraction form
    119,358/251,004 = 251,004/x
  3. Step 3: Cross multiply
    119,358x = 251,004 × 251,004
  4. Step 4: Simplify right side
    119,358x = 63,003,008,016
  5. Step 5: Solve for x
    x = 63,003,008,016/119,358
  6. Step 6: Final answer
    x = 527,849.06

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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.