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Finding the Third Proportional to 216,612 and 334,752.50

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Solution

The third proportional to 216,612 and 334,752.50 is: 517,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,612 : 334,752.50 = 334,752.50 : x
  2. Step 2: Convert to fraction form
    216,612/334,752.50 = 334,752.50/x
  3. Step 3: Cross multiply
    216,612x = 334,752.50 × 334,752.50
  4. Step 4: Simplify right side
    216,612x = 112,059,236,256.25
  5. Step 5: Solve for x
    x = 112,059,236,256.25/216,612
  6. Step 6: Final answer
    x = 517,327.00

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