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Finding the Third Proportional to 164,526 and 248,814

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Solution

The third proportional to 164,526 and 248,814 is: 376,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,526 : 248,814 = 248,814 : x
  2. Step 2: Convert to fraction form
    164,526/248,814 = 248,814/x
  3. Step 3: Cross multiply
    164,526x = 248,814 × 248,814
  4. Step 4: Simplify right side
    164,526x = 61,908,406,596
  5. Step 5: Solve for x
    x = 61,908,406,596/164,526
  6. Step 6: Final answer
    x = 376,283.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.