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Finding the Third Proportional to 163,615 and 240,036

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Solution

The third proportional to 163,615 and 240,036 is: 352,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,615 : 240,036 = 240,036 : x
  2. Step 2: Convert to fraction form
    163,615/240,036 = 240,036/x
  3. Step 3: Cross multiply
    163,615x = 240,036 × 240,036
  4. Step 4: Simplify right side
    163,615x = 57,617,281,296
  5. Step 5: Solve for x
    x = 57,617,281,296/163,615
  6. Step 6: Final answer
    x = 352,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.