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Finding the Third Proportional to 193,664 and 299,248

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Solution

The third proportional to 193,664 and 299,248 is: 462,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,664 : 299,248 = 299,248 : x
  2. Step 2: Convert to fraction form
    193,664/299,248 = 299,248/x
  3. Step 3: Cross multiply
    193,664x = 299,248 × 299,248
  4. Step 4: Simplify right side
    193,664x = 89,549,365,504
  5. Step 5: Solve for x
    x = 89,549,365,504/193,664
  6. Step 6: Final answer
    x = 462,395.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.