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Finding the Third Proportional to 106,602.75 and 233,262

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Solution

The third proportional to 106,602.75 and 233,262 is: 510,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.75 : 233,262 = 233,262 : x
  2. Step 2: Convert to fraction form
    106,602.75/233,262 = 233,262/x
  3. Step 3: Cross multiply
    106,602.75x = 233,262 × 233,262
  4. Step 4: Simplify right side
    106,602.75x = 54,411,160,644
  5. Step 5: Solve for x
    x = 54,411,160,644/106,602.75
  6. Step 6: Final answer
    x = 510,410.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.