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Finding the Third Proportional to 164,550 and 240,588

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Solution

The third proportional to 164,550 and 240,588 is: 351,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,550 : 240,588 = 240,588 : x
  2. Step 2: Convert to fraction form
    164,550/240,588 = 240,588/x
  3. Step 3: Cross multiply
    164,550x = 240,588 × 240,588
  4. Step 4: Simplify right side
    164,550x = 57,882,585,744
  5. Step 5: Solve for x
    x = 57,882,585,744/164,550
  6. Step 6: Final answer
    x = 351,762.90

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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.