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Finding the Third Proportional to 153,316.13 and 214,842.38

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Solution

The third proportional to 153,316.13 and 214,842.38 is: 301,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,316.13 : 214,842.38 = 214,842.38 : x
  2. Step 2: Convert to fraction form
    153,316.13/214,842.38 = 214,842.38/x
  3. Step 3: Cross multiply
    153,316.13x = 214,842.38 × 214,842.38
  4. Step 4: Simplify right side
    153,316.13x = 46,157,246,095.64
  5. Step 5: Solve for x
    x = 46,157,246,095.64/153,316.13
  6. Step 6: Final answer
    x = 301,059.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.