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Finding the Third Proportional to 105,410 and 230,276

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Solution

The third proportional to 105,410 and 230,276 is: 503,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410 : 230,276 = 230,276 : x
  2. Step 2: Convert to fraction form
    105,410/230,276 = 230,276/x
  3. Step 3: Cross multiply
    105,410x = 230,276 × 230,276
  4. Step 4: Simplify right side
    105,410x = 53,027,036,176
  5. Step 5: Solve for x
    x = 53,027,036,176/105,410
  6. Step 6: Final answer
    x = 503,055.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.