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Finding the Third Proportional to 128,223 and 296,812.50

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Solution

The third proportional to 128,223 and 296,812.50 is: 687,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,223 : 296,812.50 = 296,812.50 : x
  2. Step 2: Convert to fraction form
    128,223/296,812.50 = 296,812.50/x
  3. Step 3: Cross multiply
    128,223x = 296,812.50 × 296,812.50
  4. Step 4: Simplify right side
    128,223x = 88,097,660,156.25
  5. Step 5: Solve for x
    x = 88,097,660,156.25/128,223
  6. Step 6: Final answer
    x = 687,065.97

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.