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Finding the Third Proportional to 144,598 and 313,334

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Solution

The third proportional to 144,598 and 313,334 is: 678,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,598 : 313,334 = 313,334 : x
  2. Step 2: Convert to fraction form
    144,598/313,334 = 313,334/x
  3. Step 3: Cross multiply
    144,598x = 313,334 × 313,334
  4. Step 4: Simplify right side
    144,598x = 98,178,195,556
  5. Step 5: Solve for x
    x = 98,178,195,556/144,598
  6. Step 6: Final answer
    x = 678,973.40

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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.