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Finding the Third Proportional to 128,506 and 197,763

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Solution

The third proportional to 128,506 and 197,763 is: 304,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,506 : 197,763 = 197,763 : x
  2. Step 2: Convert to fraction form
    128,506/197,763 = 197,763/x
  3. Step 3: Cross multiply
    128,506x = 197,763 × 197,763
  4. Step 4: Simplify right side
    128,506x = 39,110,204,169
  5. Step 5: Solve for x
    x = 39,110,204,169/128,506
  6. Step 6: Final answer
    x = 304,345.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.