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Finding the Third Proportional to 193,216 and 295,587

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Solution

The third proportional to 193,216 and 295,587 is: 452,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,216 : 295,587 = 295,587 : x
  2. Step 2: Convert to fraction form
    193,216/295,587 = 295,587/x
  3. Step 3: Cross multiply
    193,216x = 295,587 × 295,587
  4. Step 4: Simplify right side
    193,216x = 87,371,674,569
  5. Step 5: Solve for x
    x = 87,371,674,569/193,216
  6. Step 6: Final answer
    x = 452,196.89

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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.