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Finding the Third Proportional to 142,875 and 307,260

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Solution

The third proportional to 142,875 and 307,260 is: 660,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,875 : 307,260 = 307,260 : x
  2. Step 2: Convert to fraction form
    142,875/307,260 = 307,260/x
  3. Step 3: Cross multiply
    142,875x = 307,260 × 307,260
  4. Step 4: Simplify right side
    142,875x = 94,408,707,600
  5. Step 5: Solve for x
    x = 94,408,707,600/142,875
  6. Step 6: Final answer
    x = 660,778.36

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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.