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Finding the Third Proportional to 110,312 and 238,121

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Solution

The third proportional to 110,312 and 238,121 is: 514,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,312 : 238,121 = 238,121 : x
  2. Step 2: Convert to fraction form
    110,312/238,121 = 238,121/x
  3. Step 3: Cross multiply
    110,312x = 238,121 × 238,121
  4. Step 4: Simplify right side
    110,312x = 56,701,610,641
  5. Step 5: Solve for x
    x = 56,701,610,641/110,312
  6. Step 6: Final answer
    x = 514,011.26

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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.