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Finding the Third Proportional to 169,370 and 262,564

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Solution

The third proportional to 169,370 and 262,564 is: 407,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,370 : 262,564 = 262,564 : x
  2. Step 2: Convert to fraction form
    169,370/262,564 = 262,564/x
  3. Step 3: Cross multiply
    169,370x = 262,564 × 262,564
  4. Step 4: Simplify right side
    169,370x = 68,939,854,096
  5. Step 5: Solve for x
    x = 68,939,854,096/169,370
  6. Step 6: Final answer
    x = 407,036.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.