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Finding the Third Proportional to 164,140 and 355,928

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Solution

The third proportional to 164,140 and 355,928 is: 771,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,140 : 355,928 = 355,928 : x
  2. Step 2: Convert to fraction form
    164,140/355,928 = 355,928/x
  3. Step 3: Cross multiply
    164,140x = 355,928 × 355,928
  4. Step 4: Simplify right side
    164,140x = 126,684,741,184
  5. Step 5: Solve for x
    x = 126,684,741,184/164,140
  6. Step 6: Final answer
    x = 771,809.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.