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Finding the Third Proportional to 135,050 and 312,657

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Solution

The third proportional to 135,050 and 312,657 is: 723,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,050 : 312,657 = 312,657 : x
  2. Step 2: Convert to fraction form
    135,050/312,657 = 312,657/x
  3. Step 3: Cross multiply
    135,050x = 312,657 × 312,657
  4. Step 4: Simplify right side
    135,050x = 97,754,399,649
  5. Step 5: Solve for x
    x = 97,754,399,649/135,050
  6. Step 6: Final answer
    x = 723,838.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.