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Finding the Third Proportional to 121,796.50 and 265,726.50

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Solution

The third proportional to 121,796.50 and 265,726.50 is: 579,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,796.50 : 265,726.50 = 265,726.50 : x
  2. Step 2: Convert to fraction form
    121,796.50/265,726.50 = 265,726.50/x
  3. Step 3: Cross multiply
    121,796.50x = 265,726.50 × 265,726.50
  4. Step 4: Simplify right side
    121,796.50x = 70,610,572,802.25
  5. Step 5: Solve for x
    x = 70,610,572,802.25/121,796.50
  6. Step 6: Final answer
    x = 579,742.22

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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.