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Finding the Third Proportional to 142,877.63 and 307,260.75

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Solution

The third proportional to 142,877.63 and 307,260.75 is: 660,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,877.63 : 307,260.75 = 307,260.75 : x
  2. Step 2: Convert to fraction form
    142,877.63/307,260.75 = 307,260.75/x
  3. Step 3: Cross multiply
    142,877.63x = 307,260.75 × 307,260.75
  4. Step 4: Simplify right side
    142,877.63x = 94,409,168,490.56
  5. Step 5: Solve for x
    x = 94,409,168,490.56/142,877.63
  6. Step 6: Final answer
    x = 660,769.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.