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Finding the Third Proportional to 131,052 and 308,046

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Solution

The third proportional to 131,052 and 308,046 is: 724,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,052 : 308,046 = 308,046 : x
  2. Step 2: Convert to fraction form
    131,052/308,046 = 308,046/x
  3. Step 3: Cross multiply
    131,052x = 308,046 × 308,046
  4. Step 4: Simplify right side
    131,052x = 94,892,338,116
  5. Step 5: Solve for x
    x = 94,892,338,116/131,052
  6. Step 6: Final answer
    x = 724,081.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.