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Finding the Third Proportional to 216,179 and 343,514.50

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Solution

The third proportional to 216,179 and 343,514.50 is: 545,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,179 : 343,514.50 = 343,514.50 : x
  2. Step 2: Convert to fraction form
    216,179/343,514.50 = 343,514.50/x
  3. Step 3: Cross multiply
    216,179x = 343,514.50 × 343,514.50
  4. Step 4: Simplify right side
    216,179x = 118,002,211,710.25
  5. Step 5: Solve for x
    x = 118,002,211,710.25/216,179
  6. Step 6: Final answer
    x = 545,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.