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Finding the Third Proportional to 135,010 and 295,454

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Solution

The third proportional to 135,010 and 295,454 is: 646,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,010 : 295,454 = 295,454 : x
  2. Step 2: Convert to fraction form
    135,010/295,454 = 295,454/x
  3. Step 3: Cross multiply
    135,010x = 295,454 × 295,454
  4. Step 4: Simplify right side
    135,010x = 87,293,066,116
  5. Step 5: Solve for x
    x = 87,293,066,116/135,010
  6. Step 6: Final answer
    x = 646,567.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.