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Finding the Third Proportional to 110,402 and 238,276

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Solution

The third proportional to 110,402 and 238,276 is: 514,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,402 : 238,276 = 238,276 : x
  2. Step 2: Convert to fraction form
    110,402/238,276 = 238,276/x
  3. Step 3: Cross multiply
    110,402x = 238,276 × 238,276
  4. Step 4: Simplify right side
    110,402x = 56,775,452,176
  5. Step 5: Solve for x
    x = 56,775,452,176/110,402
  6. Step 6: Final answer
    x = 514,261.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.