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Finding the Third Proportional to 175,526 and 264,840

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Solution

The third proportional to 175,526 and 264,840 is: 399,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,526 : 264,840 = 264,840 : x
  2. Step 2: Convert to fraction form
    175,526/264,840 = 264,840/x
  3. Step 3: Cross multiply
    175,526x = 264,840 × 264,840
  4. Step 4: Simplify right side
    175,526x = 70,140,225,600
  5. Step 5: Solve for x
    x = 70,140,225,600/175,526
  6. Step 6: Final answer
    x = 399,600.21

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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.