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Finding the Third Proportional to 174,985 and 262,417

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Solution

The third proportional to 174,985 and 262,417 is: 393,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 262,417 = 262,417 : x
  2. Step 2: Convert to fraction form
    174,985/262,417 = 262,417/x
  3. Step 3: Cross multiply
    174,985x = 262,417 × 262,417
  4. Step 4: Simplify right side
    174,985x = 68,862,681,889
  5. Step 5: Solve for x
    x = 68,862,681,889/174,985
  6. Step 6: Final answer
    x = 393,534.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.