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Finding the Third Proportional to 234,324 and 354,773

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Solution

The third proportional to 234,324 and 354,773 is: 537,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,324 : 354,773 = 354,773 : x
  2. Step 2: Convert to fraction form
    234,324/354,773 = 354,773/x
  3. Step 3: Cross multiply
    234,324x = 354,773 × 354,773
  4. Step 4: Simplify right side
    234,324x = 125,863,881,529
  5. Step 5: Solve for x
    x = 125,863,881,529/234,324
  6. Step 6: Final answer
    x = 537,136.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.