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Finding the Third Proportional to 162,232 and 355,005

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Solution

The third proportional to 162,232 and 355,005 is: 776,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232 : 355,005 = 355,005 : x
  2. Step 2: Convert to fraction form
    162,232/355,005 = 355,005/x
  3. Step 3: Cross multiply
    162,232x = 355,005 × 355,005
  4. Step 4: Simplify right side
    162,232x = 126,028,550,025
  5. Step 5: Solve for x
    x = 126,028,550,025/162,232
  6. Step 6: Final answer
    x = 776,841.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.