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Finding the Third Proportional to 116,531.06 and 253,820.06

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Solution

The third proportional to 116,531.06 and 253,820.06 is: 552,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,531.06 : 253,820.06 = 253,820.06 : x
  2. Step 2: Convert to fraction form
    116,531.06/253,820.06 = 253,820.06/x
  3. Step 3: Cross multiply
    116,531.06x = 253,820.06 × 253,820.06
  4. Step 4: Simplify right side
    116,531.06x = 64,424,624,127.50
  5. Step 5: Solve for x
    x = 64,424,624,127.50/116,531.06
  6. Step 6: Final answer
    x = 552,853.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.