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Finding the Third Proportional to 216,270 and 289,291.50

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Solution

The third proportional to 216,270 and 289,291.50 is: 386,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,270 : 289,291.50 = 289,291.50 : x
  2. Step 2: Convert to fraction form
    216,270/289,291.50 = 289,291.50/x
  3. Step 3: Cross multiply
    216,270x = 289,291.50 × 289,291.50
  4. Step 4: Simplify right side
    216,270x = 83,689,571,972.25
  5. Step 5: Solve for x
    x = 83,689,571,972.25/216,270
  6. Step 6: Final answer
    x = 386,968.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.