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Finding the Third Proportional to 158,025 and 344,454

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Solution

The third proportional to 158,025 and 344,454 is: 750,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,025 : 344,454 = 344,454 : x
  2. Step 2: Convert to fraction form
    158,025/344,454 = 344,454/x
  3. Step 3: Cross multiply
    158,025x = 344,454 × 344,454
  4. Step 4: Simplify right side
    158,025x = 118,648,558,116
  5. Step 5: Solve for x
    x = 118,648,558,116/158,025
  6. Step 6: Final answer
    x = 750,821.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.