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Finding the Third Proportional to 145,276 and 314,678

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Solution

The third proportional to 145,276 and 314,678 is: 681,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,276 : 314,678 = 314,678 : x
  2. Step 2: Convert to fraction form
    145,276/314,678 = 314,678/x
  3. Step 3: Cross multiply
    145,276x = 314,678 × 314,678
  4. Step 4: Simplify right side
    145,276x = 99,022,243,684
  5. Step 5: Solve for x
    x = 99,022,243,684/145,276
  6. Step 6: Final answer
    x = 681,614.61

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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.