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Finding the Third Proportional to 110,705 and 237,158

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Solution

The third proportional to 110,705 and 237,158 is: 508,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,705 : 237,158 = 237,158 : x
  2. Step 2: Convert to fraction form
    110,705/237,158 = 237,158/x
  3. Step 3: Cross multiply
    110,705x = 237,158 × 237,158
  4. Step 4: Simplify right side
    110,705x = 56,243,916,964
  5. Step 5: Solve for x
    x = 56,243,916,964/110,705
  6. Step 6: Final answer
    x = 508,052.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.