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Finding the Third Proportional to 310,102 and 466,960

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Solution

The third proportional to 310,102 and 466,960 is: 703,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,102 : 466,960 = 466,960 : x
  2. Step 2: Convert to fraction form
    310,102/466,960 = 466,960/x
  3. Step 3: Cross multiply
    310,102x = 466,960 × 466,960
  4. Step 4: Simplify right side
    310,102x = 218,051,641,600
  5. Step 5: Solve for x
    x = 218,051,641,600/310,102
  6. Step 6: Final answer
    x = 703,161.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.