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Finding the Third Proportional to 158,840 and 340,712

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Solution

The third proportional to 158,840 and 340,712 is: 730,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,840 : 340,712 = 340,712 : x
  2. Step 2: Convert to fraction form
    158,840/340,712 = 340,712/x
  3. Step 3: Cross multiply
    158,840x = 340,712 × 340,712
  4. Step 4: Simplify right side
    158,840x = 116,084,666,944
  5. Step 5: Solve for x
    x = 116,084,666,944/158,840
  6. Step 6: Final answer
    x = 730,827.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.