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Finding the Third Proportional to 172,869.75 and 233,037

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Solution

The third proportional to 172,869.75 and 233,037 is: 314,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,869.75 : 233,037 = 233,037 : x
  2. Step 2: Convert to fraction form
    172,869.75/233,037 = 233,037/x
  3. Step 3: Cross multiply
    172,869.75x = 233,037 × 233,037
  4. Step 4: Simplify right side
    172,869.75x = 54,306,243,369
  5. Step 5: Solve for x
    x = 54,306,243,369/172,869.75
  6. Step 6: Final answer
    x = 314,145.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.