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Finding the Third Proportional to 159,273 and 348,080.63

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Solution

The third proportional to 159,273 and 348,080.63 is: 760,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,273 : 348,080.63 = 348,080.63 : x
  2. Step 2: Convert to fraction form
    159,273/348,080.63 = 348,080.63/x
  3. Step 3: Cross multiply
    159,273x = 348,080.63 × 348,080.63
  4. Step 4: Simplify right side
    159,273x = 121,160,121,500.39
  5. Step 5: Solve for x
    x = 121,160,121,500.39/159,273
  6. Step 6: Final answer
    x = 760,707.22

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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.