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Finding the Third Proportional to 110,808 and 237,492

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Solution

The third proportional to 110,808 and 237,492 is: 509,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,808 : 237,492 = 237,492 : x
  2. Step 2: Convert to fraction form
    110,808/237,492 = 237,492/x
  3. Step 3: Cross multiply
    110,808x = 237,492 × 237,492
  4. Step 4: Simplify right side
    110,808x = 56,402,450,064
  5. Step 5: Solve for x
    x = 56,402,450,064/110,808
  6. Step 6: Final answer
    x = 509,010.63

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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.