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Finding the Third Proportional to 116,572 and 254,221

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Solution

The third proportional to 116,572 and 254,221 is: 554,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,572 : 254,221 = 254,221 : x
  2. Step 2: Convert to fraction form
    116,572/254,221 = 254,221/x
  3. Step 3: Cross multiply
    116,572x = 254,221 × 254,221
  4. Step 4: Simplify right side
    116,572x = 64,628,316,841
  5. Step 5: Solve for x
    x = 64,628,316,841/116,572
  6. Step 6: Final answer
    x = 554,406.86

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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.