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Finding the Third Proportional to 157,302 and 340,842

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Solution

The third proportional to 157,302 and 340,842 is: 738,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,302 : 340,842 = 340,842 : x
  2. Step 2: Convert to fraction form
    157,302/340,842 = 340,842/x
  3. Step 3: Cross multiply
    157,302x = 340,842 × 340,842
  4. Step 4: Simplify right side
    157,302x = 116,173,268,964
  5. Step 5: Solve for x
    x = 116,173,268,964/157,302
  6. Step 6: Final answer
    x = 738,536.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.