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Finding the Third Proportional to 216,453 and 294,871.50

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Solution

The third proportional to 216,453 and 294,871.50 is: 401,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453 : 294,871.50 = 294,871.50 : x
  2. Step 2: Convert to fraction form
    216,453/294,871.50 = 294,871.50/x
  3. Step 3: Cross multiply
    216,453x = 294,871.50 × 294,871.50
  4. Step 4: Simplify right side
    216,453x = 86,949,201,512.25
  5. Step 5: Solve for x
    x = 86,949,201,512.25/216,453
  6. Step 6: Final answer
    x = 401,700.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.