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Finding the Third Proportional to 145,951 and 314,417

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Solution

The third proportional to 145,951 and 314,417 is: 677,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,951 : 314,417 = 314,417 : x
  2. Step 2: Convert to fraction form
    145,951/314,417 = 314,417/x
  3. Step 3: Cross multiply
    145,951x = 314,417 × 314,417
  4. Step 4: Simplify right side
    145,951x = 98,858,049,889
  5. Step 5: Solve for x
    x = 98,858,049,889/145,951
  6. Step 6: Final answer
    x = 677,337.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.