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Finding the Third Proportional to 231,454 and 360,712

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Solution

The third proportional to 231,454 and 360,712 is: 562,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,454 : 360,712 = 360,712 : x
  2. Step 2: Convert to fraction form
    231,454/360,712 = 360,712/x
  3. Step 3: Cross multiply
    231,454x = 360,712 × 360,712
  4. Step 4: Simplify right side
    231,454x = 130,113,146,944
  5. Step 5: Solve for x
    x = 130,113,146,944/231,454
  6. Step 6: Final answer
    x = 562,155.53

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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.