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Finding the Third Proportional to 141,596.50 and 307,844.81

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Solution

The third proportional to 141,596.50 and 307,844.81 is: 669,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,596.50 : 307,844.81 = 307,844.81 : x
  2. Step 2: Convert to fraction form
    141,596.50/307,844.81 = 307,844.81/x
  3. Step 3: Cross multiply
    141,596.50x = 307,844.81 × 307,844.81
  4. Step 4: Simplify right side
    141,596.50x = 94,768,427,681.27
  5. Step 5: Solve for x
    x = 94,768,427,681.27/141,596.50
  6. Step 6: Final answer
    x = 669,285.08

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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.