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Finding the Third Proportional to 173,423 and 259,426

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Solution

The third proportional to 173,423 and 259,426 is: 388,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,423 : 259,426 = 259,426 : x
  2. Step 2: Convert to fraction form
    173,423/259,426 = 259,426/x
  3. Step 3: Cross multiply
    173,423x = 259,426 × 259,426
  4. Step 4: Simplify right side
    173,423x = 67,301,849,476
  5. Step 5: Solve for x
    x = 67,301,849,476/173,423
  6. Step 6: Final answer
    x = 388,079.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.