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Finding the Third Proportional to 171,564 and 371,752

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Solution

The third proportional to 171,564 and 371,752 is: 805,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,564 : 371,752 = 371,752 : x
  2. Step 2: Convert to fraction form
    171,564/371,752 = 371,752/x
  3. Step 3: Cross multiply
    171,564x = 371,752 × 371,752
  4. Step 4: Simplify right side
    171,564x = 138,199,549,504
  5. Step 5: Solve for x
    x = 138,199,549,504/171,564
  6. Step 6: Final answer
    x = 805,527.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.