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Finding the Third Proportional to 145,850 and 311,931

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Solution

The third proportional to 145,850 and 311,931 is: 667,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,850 : 311,931 = 311,931 : x
  2. Step 2: Convert to fraction form
    145,850/311,931 = 311,931/x
  3. Step 3: Cross multiply
    145,850x = 311,931 × 311,931
  4. Step 4: Simplify right side
    145,850x = 97,300,948,761
  5. Step 5: Solve for x
    x = 97,300,948,761/145,850
  6. Step 6: Final answer
    x = 667,130.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.