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Finding the Third Proportional to 130,378.13 and 270,748.13

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Solution

The third proportional to 130,378.13 and 270,748.13 is: 562,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,378.13 : 270,748.13 = 270,748.13 : x
  2. Step 2: Convert to fraction form
    130,378.13/270,748.13 = 270,748.13/x
  3. Step 3: Cross multiply
    130,378.13x = 270,748.13 × 270,748.13
  4. Step 4: Simplify right side
    130,378.13x = 73,304,547,191.02
  5. Step 5: Solve for x
    x = 73,304,547,191.02/130,378.13
  6. Step 6: Final answer
    x = 562,245.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.