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Finding the Third Proportional to 170,028 and 264,492

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Solution

The third proportional to 170,028 and 264,492 is: 411,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,028 : 264,492 = 264,492 : x
  2. Step 2: Convert to fraction form
    170,028/264,492 = 264,492/x
  3. Step 3: Cross multiply
    170,028x = 264,492 × 264,492
  4. Step 4: Simplify right side
    170,028x = 69,956,018,064
  5. Step 5: Solve for x
    x = 69,956,018,064/170,028
  6. Step 6: Final answer
    x = 411,438.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.