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Finding the Third Proportional to 157,036 and 348,901

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Solution

The third proportional to 157,036 and 348,901 is: 775,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,036 : 348,901 = 348,901 : x
  2. Step 2: Convert to fraction form
    157,036/348,901 = 348,901/x
  3. Step 3: Cross multiply
    157,036x = 348,901 × 348,901
  4. Step 4: Simplify right side
    157,036x = 121,731,907,801
  5. Step 5: Solve for x
    x = 121,731,907,801/157,036
  6. Step 6: Final answer
    x = 775,184.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.