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Finding the Third Proportional to 216,496.13 and 322,434

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Solution

The third proportional to 216,496.13 and 322,434 is: 480,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,496.13 : 322,434 = 322,434 : x
  2. Step 2: Convert to fraction form
    216,496.13/322,434 = 322,434/x
  3. Step 3: Cross multiply
    216,496.13x = 322,434 × 322,434
  4. Step 4: Simplify right side
    216,496.13x = 103,963,684,356
  5. Step 5: Solve for x
    x = 103,963,684,356/216,496.13
  6. Step 6: Final answer
    x = 480,210.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.