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Finding the Third Proportional to 149,246 and 322,550

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Solution

The third proportional to 149,246 and 322,550 is: 697,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,246 : 322,550 = 322,550 : x
  2. Step 2: Convert to fraction form
    149,246/322,550 = 322,550/x
  3. Step 3: Cross multiply
    149,246x = 322,550 × 322,550
  4. Step 4: Simplify right side
    149,246x = 104,038,502,500
  5. Step 5: Solve for x
    x = 104,038,502,500/149,246
  6. Step 6: Final answer
    x = 697,094.08

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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.