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Finding the Third Proportional to 142,877.34 and 307,260.19

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Solution

The third proportional to 142,877.34 and 307,260.19 is: 660,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,877.34 : 307,260.19 = 307,260.19 : x
  2. Step 2: Convert to fraction form
    142,877.34/307,260.19 = 307,260.19/x
  3. Step 3: Cross multiply
    142,877.34x = 307,260.19 × 307,260.19
  4. Step 4: Simplify right side
    142,877.34x = 94,408,822,822.54
  5. Step 5: Solve for x
    x = 94,408,822,822.54/142,877.34
  6. Step 6: Final answer
    x = 660,768.32

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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.