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Finding the Third Proportional to 141,319 and 307,178

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Solution

The third proportional to 141,319 and 307,178 is: 667,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,319 : 307,178 = 307,178 : x
  2. Step 2: Convert to fraction form
    141,319/307,178 = 307,178/x
  3. Step 3: Cross multiply
    141,319x = 307,178 × 307,178
  4. Step 4: Simplify right side
    141,319x = 94,358,323,684
  5. Step 5: Solve for x
    x = 94,358,323,684/141,319
  6. Step 6: Final answer
    x = 667,697.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.