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Finding the Third Proportional to 171,526 and 265,066

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Solution

The third proportional to 171,526 and 265,066 is: 409,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,526 : 265,066 = 265,066 : x
  2. Step 2: Convert to fraction form
    171,526/265,066 = 265,066/x
  3. Step 3: Cross multiply
    171,526x = 265,066 × 265,066
  4. Step 4: Simplify right side
    171,526x = 70,259,984,356
  5. Step 5: Solve for x
    x = 70,259,984,356/171,526
  6. Step 6: Final answer
    x = 409,617.11

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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.