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Finding the Third Proportional to 145,800 and 314,361

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Solution

The third proportional to 145,800 and 314,361 is: 677,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,800 : 314,361 = 314,361 : x
  2. Step 2: Convert to fraction form
    145,800/314,361 = 314,361/x
  3. Step 3: Cross multiply
    145,800x = 314,361 × 314,361
  4. Step 4: Simplify right side
    145,800x = 98,822,838,321
  5. Step 5: Solve for x
    x = 98,822,838,321/145,800
  6. Step 6: Final answer
    x = 677,797.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.