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Finding the Third Proportional to 162,786 and 241,816.50

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Solution

The third proportional to 162,786 and 241,816.50 is: 359,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,786 : 241,816.50 = 241,816.50 : x
  2. Step 2: Convert to fraction form
    162,786/241,816.50 = 241,816.50/x
  3. Step 3: Cross multiply
    162,786x = 241,816.50 × 241,816.50
  4. Step 4: Simplify right side
    162,786x = 58,475,219,672.25
  5. Step 5: Solve for x
    x = 58,475,219,672.25/162,786
  6. Step 6: Final answer
    x = 359,215.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.