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Finding the Third Proportional to 164,372 and 240,702

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Solution

The third proportional to 164,372 and 240,702 is: 352,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,372 : 240,702 = 240,702 : x
  2. Step 2: Convert to fraction form
    164,372/240,702 = 240,702/x
  3. Step 3: Cross multiply
    164,372x = 240,702 × 240,702
  4. Step 4: Simplify right side
    164,372x = 57,937,452,804
  5. Step 5: Solve for x
    x = 57,937,452,804/164,372
  6. Step 6: Final answer
    x = 352,477.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.