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Finding the Third Proportional to 216,570 and 334,701

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Solution

The third proportional to 216,570 and 334,701 is: 517,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570 : 334,701 = 334,701 : x
  2. Step 2: Convert to fraction form
    216,570/334,701 = 334,701/x
  3. Step 3: Cross multiply
    216,570x = 334,701 × 334,701
  4. Step 4: Simplify right side
    216,570x = 112,024,759,401
  5. Step 5: Solve for x
    x = 112,024,759,401/216,570
  6. Step 6: Final answer
    x = 517,268.13

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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.