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Finding the Third Proportional to 145,962 and 314,433

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Solution

The third proportional to 145,962 and 314,433 is: 677,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962 : 314,433 = 314,433 : x
  2. Step 2: Convert to fraction form
    145,962/314,433 = 314,433/x
  3. Step 3: Cross multiply
    145,962x = 314,433 × 314,433
  4. Step 4: Simplify right side
    145,962x = 98,868,111,489
  5. Step 5: Solve for x
    x = 98,868,111,489/145,962
  6. Step 6: Final answer
    x = 677,355.14

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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.