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Finding the Third Proportional to 99,254 and 234,262

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Solution

The third proportional to 99,254 and 234,262 is: 552,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,254 : 234,262 = 234,262 : x
  2. Step 2: Convert to fraction form
    99,254/234,262 = 234,262/x
  3. Step 3: Cross multiply
    99,254x = 234,262 × 234,262
  4. Step 4: Simplify right side
    99,254x = 54,878,684,644
  5. Step 5: Solve for x
    x = 54,878,684,644/99,254
  6. Step 6: Final answer
    x = 552,911.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.