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Finding the Third Proportional to 128,440 and 204,557

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Solution

The third proportional to 128,440 and 204,557 is: 325,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,440 : 204,557 = 204,557 : x
  2. Step 2: Convert to fraction form
    128,440/204,557 = 204,557/x
  3. Step 3: Cross multiply
    128,440x = 204,557 × 204,557
  4. Step 4: Simplify right side
    128,440x = 41,843,566,249
  5. Step 5: Solve for x
    x = 41,843,566,249/128,440
  6. Step 6: Final answer
    x = 325,782.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.