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Finding the Third Proportional to 135,026 and 295,465

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Solution

The third proportional to 135,026 and 295,465 is: 646,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,026 : 295,465 = 295,465 : x
  2. Step 2: Convert to fraction form
    135,026/295,465 = 295,465/x
  3. Step 3: Cross multiply
    135,026x = 295,465 × 295,465
  4. Step 4: Simplify right side
    135,026x = 87,299,566,225
  5. Step 5: Solve for x
    x = 87,299,566,225/135,026
  6. Step 6: Final answer
    x = 646,538.93

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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.