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Finding the Third Proportional to 144,899.63 and 314,749.13

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Solution

The third proportional to 144,899.63 and 314,749.13 is: 683,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,899.63 : 314,749.13 = 314,749.13 : x
  2. Step 2: Convert to fraction form
    144,899.63/314,749.13 = 314,749.13/x
  3. Step 3: Cross multiply
    144,899.63x = 314,749.13 × 314,749.13
  4. Step 4: Simplify right side
    144,899.63x = 99,067,011,688.27
  5. Step 5: Solve for x
    x = 99,067,011,688.27/144,899.63
  6. Step 6: Final answer
    x = 683,694.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.