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Finding the Third Proportional to 141,454.48 and 307,786.08

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Solution

The third proportional to 141,454.48 and 307,786.08 is: 669,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,454.48 : 307,786.08 = 307,786.08 : x
  2. Step 2: Convert to fraction form
    141,454.48/307,786.08 = 307,786.08/x
  3. Step 3: Cross multiply
    141,454.48x = 307,786.08 × 307,786.08
  4. Step 4: Simplify right side
    141,454.48x = 94,732,269,887.57
  5. Step 5: Solve for x
    x = 94,732,269,887.57/141,454.48
  6. Step 6: Final answer
    x = 669,701.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.