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Finding the Third Proportional to 216,097.50 and 235,473

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Solution

The third proportional to 216,097.50 and 235,473 is: 256,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.50 : 235,473 = 235,473 : x
  2. Step 2: Convert to fraction form
    216,097.50/235,473 = 235,473/x
  3. Step 3: Cross multiply
    216,097.50x = 235,473 × 235,473
  4. Step 4: Simplify right side
    216,097.50x = 55,447,533,729
  5. Step 5: Solve for x
    x = 55,447,533,729/216,097.50
  6. Step 6: Final answer
    x = 256,585.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.