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Finding the Third Proportional to 119,490 and 244,514.50

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Solution

The third proportional to 119,490 and 244,514.50 is: 500,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,490 : 244,514.50 = 244,514.50 : x
  2. Step 2: Convert to fraction form
    119,490/244,514.50 = 244,514.50/x
  3. Step 3: Cross multiply
    119,490x = 244,514.50 × 244,514.50
  4. Step 4: Simplify right side
    119,490x = 59,787,340,710.25
  5. Step 5: Solve for x
    x = 59,787,340,710.25/119,490
  6. Step 6: Final answer
    x = 500,354.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.