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Finding the Third Proportional to 158,914.13 and 343,036.13

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Solution

The third proportional to 158,914.13 and 343,036.13 is: 740,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,914.13 : 343,036.13 = 343,036.13 : x
  2. Step 2: Convert to fraction form
    158,914.13/343,036.13 = 343,036.13/x
  3. Step 3: Cross multiply
    158,914.13x = 343,036.13 × 343,036.13
  4. Step 4: Simplify right side
    158,914.13x = 117,673,783,055.02
  5. Step 5: Solve for x
    x = 117,673,783,055.02/158,914.13
  6. Step 6: Final answer
    x = 740,486.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.