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Finding the Third Proportional to 141,499 and 210,324

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Solution

The third proportional to 141,499 and 210,324 is: 312,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,499 : 210,324 = 210,324 : x
  2. Step 2: Convert to fraction form
    141,499/210,324 = 210,324/x
  3. Step 3: Cross multiply
    141,499x = 210,324 × 210,324
  4. Step 4: Simplify right side
    141,499x = 44,236,184,976
  5. Step 5: Solve for x
    x = 44,236,184,976/141,499
  6. Step 6: Final answer
    x = 312,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.