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Finding the Third Proportional to 128,569.50 and 197,226

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Solution

The third proportional to 128,569.50 and 197,226 is: 302,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,569.50 : 197,226 = 197,226 : x
  2. Step 2: Convert to fraction form
    128,569.50/197,226 = 197,226/x
  3. Step 3: Cross multiply
    128,569.50x = 197,226 × 197,226
  4. Step 4: Simplify right side
    128,569.50x = 38,898,095,076
  5. Step 5: Solve for x
    x = 38,898,095,076/128,569.50
  6. Step 6: Final answer
    x = 302,545.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.