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Finding the Third Proportional to 144,592 and 313,312

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Solution

The third proportional to 144,592 and 313,312 is: 678,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,592 : 313,312 = 313,312 : x
  2. Step 2: Convert to fraction form
    144,592/313,312 = 313,312/x
  3. Step 3: Cross multiply
    144,592x = 313,312 × 313,312
  4. Step 4: Simplify right side
    144,592x = 98,164,409,344
  5. Step 5: Solve for x
    x = 98,164,409,344/144,592
  6. Step 6: Final answer
    x = 678,906.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.