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Finding the Third Proportional to 165,807 and 262,946.25

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Solution

The third proportional to 165,807 and 262,946.25 is: 416,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807 : 262,946.25 = 262,946.25 : x
  2. Step 2: Convert to fraction form
    165,807/262,946.25 = 262,946.25/x
  3. Step 3: Cross multiply
    165,807x = 262,946.25 × 262,946.25
  4. Step 4: Simplify right side
    165,807x = 69,140,730,389.06
  5. Step 5: Solve for x
    x = 69,140,730,389.06/165,807
  6. Step 6: Final answer
    x = 416,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.