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Finding the Third Proportional to 164,569 and 245,770

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Solution

The third proportional to 164,569 and 245,770 is: 367,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,569 : 245,770 = 245,770 : x
  2. Step 2: Convert to fraction form
    164,569/245,770 = 245,770/x
  3. Step 3: Cross multiply
    164,569x = 245,770 × 245,770
  4. Step 4: Simplify right side
    164,569x = 60,402,892,900
  5. Step 5: Solve for x
    x = 60,402,892,900/164,569
  6. Step 6: Final answer
    x = 367,036.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.