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Finding the Third Proportional to 141,305.63 and 307,154.25

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Solution

The third proportional to 141,305.63 and 307,154.25 is: 667,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,305.63 : 307,154.25 = 307,154.25 : x
  2. Step 2: Convert to fraction form
    141,305.63/307,154.25 = 307,154.25/x
  3. Step 3: Cross multiply
    141,305.63x = 307,154.25 × 307,154.25
  4. Step 4: Simplify right side
    141,305.63x = 94,343,733,293.06
  5. Step 5: Solve for x
    x = 94,343,733,293.06/141,305.63
  6. Step 6: Final answer
    x = 667,657.31

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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.