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Finding the Third Proportional to 144,906 and 315,560

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Solution

The third proportional to 144,906 and 315,560 is: 687,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906 : 315,560 = 315,560 : x
  2. Step 2: Convert to fraction form
    144,906/315,560 = 315,560/x
  3. Step 3: Cross multiply
    144,906x = 315,560 × 315,560
  4. Step 4: Simplify right side
    144,906x = 99,578,113,600
  5. Step 5: Solve for x
    x = 99,578,113,600/144,906
  6. Step 6: Final answer
    x = 687,191.10

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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.