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Finding the Third Proportional to 129,298.50 and 279,409.50

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Solution

The third proportional to 129,298.50 and 279,409.50 is: 603,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298.50 : 279,409.50 = 279,409.50 : x
  2. Step 2: Convert to fraction form
    129,298.50/279,409.50 = 279,409.50/x
  3. Step 3: Cross multiply
    129,298.50x = 279,409.50 × 279,409.50
  4. Step 4: Simplify right side
    129,298.50x = 78,069,668,690.25
  5. Step 5: Solve for x
    x = 78,069,668,690.25/129,298.50
  6. Step 6: Final answer
    x = 603,794.08

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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.