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Finding the Third Proportional to 231,453 and 360,712.13

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Solution

The third proportional to 231,453 and 360,712.13 is: 562,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,453 : 360,712.13 = 360,712.13 : x
  2. Step 2: Convert to fraction form
    231,453/360,712.13 = 360,712.13/x
  3. Step 3: Cross multiply
    231,453x = 360,712.13 × 360,712.13
  4. Step 4: Simplify right side
    231,453x = 130,113,237,122.02
  5. Step 5: Solve for x
    x = 130,113,237,122.02/231,453
  6. Step 6: Final answer
    x = 562,158.35

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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.