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Finding the Third Proportional to 219,080 and 313,068

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Solution

The third proportional to 219,080 and 313,068 is: 447,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,080 : 313,068 = 313,068 : x
  2. Step 2: Convert to fraction form
    219,080/313,068 = 313,068/x
  3. Step 3: Cross multiply
    219,080x = 313,068 × 313,068
  4. Step 4: Simplify right side
    219,080x = 98,011,572,624
  5. Step 5: Solve for x
    x = 98,011,572,624/219,080
  6. Step 6: Final answer
    x = 447,378.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.