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Finding the Third Proportional to 216,609 and 334,752

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Solution

The third proportional to 216,609 and 334,752 is: 517,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,609 : 334,752 = 334,752 : x
  2. Step 2: Convert to fraction form
    216,609/334,752 = 334,752/x
  3. Step 3: Cross multiply
    216,609x = 334,752 × 334,752
  4. Step 4: Simplify right side
    216,609x = 112,058,901,504
  5. Step 5: Solve for x
    x = 112,058,901,504/216,609
  6. Step 6: Final answer
    x = 517,332.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.