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Finding the Third Proportional to 175,526 and 264,527

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Solution

The third proportional to 175,526 and 264,527 is: 398,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,526 : 264,527 = 264,527 : x
  2. Step 2: Convert to fraction form
    175,526/264,527 = 264,527/x
  3. Step 3: Cross multiply
    175,526x = 264,527 × 264,527
  4. Step 4: Simplify right side
    175,526x = 69,974,533,729
  5. Step 5: Solve for x
    x = 69,974,533,729/175,526
  6. Step 6: Final answer
    x = 398,656.23

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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.