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Finding the Third Proportional to 193,320 and 291,168

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Solution

The third proportional to 193,320 and 291,168 is: 438,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,320 : 291,168 = 291,168 : x
  2. Step 2: Convert to fraction form
    193,320/291,168 = 291,168/x
  3. Step 3: Cross multiply
    193,320x = 291,168 × 291,168
  4. Step 4: Simplify right side
    193,320x = 84,778,804,224
  5. Step 5: Solve for x
    x = 84,778,804,224/193,320
  6. Step 6: Final answer
    x = 438,541.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.