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Finding the Third Proportional to 109,335 and 178,534

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Solution

The third proportional to 109,335 and 178,534 is: 291,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,335 : 178,534 = 178,534 : x
  2. Step 2: Convert to fraction form
    109,335/178,534 = 178,534/x
  3. Step 3: Cross multiply
    109,335x = 178,534 × 178,534
  4. Step 4: Simplify right side
    109,335x = 31,874,389,156
  5. Step 5: Solve for x
    x = 31,874,389,156/109,335
  6. Step 6: Final answer
    x = 291,529.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.