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Finding the Third Proportional to 158,670 and 346,279.50

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Solution

The third proportional to 158,670 and 346,279.50 is: 755,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,670 : 346,279.50 = 346,279.50 : x
  2. Step 2: Convert to fraction form
    158,670/346,279.50 = 346,279.50/x
  3. Step 3: Cross multiply
    158,670x = 346,279.50 × 346,279.50
  4. Step 4: Simplify right side
    158,670x = 119,909,492,120.25
  5. Step 5: Solve for x
    x = 119,909,492,120.25/158,670
  6. Step 6: Final answer
    x = 755,716.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.