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Finding the Third Proportional to 141,495 and 307,107

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Solution

The third proportional to 141,495 and 307,107 is: 666,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,495 : 307,107 = 307,107 : x
  2. Step 2: Convert to fraction form
    141,495/307,107 = 307,107/x
  3. Step 3: Cross multiply
    141,495x = 307,107 × 307,107
  4. Step 4: Simplify right side
    141,495x = 94,314,709,449
  5. Step 5: Solve for x
    x = 94,314,709,449/141,495
  6. Step 6: Final answer
    x = 666,558.60

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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.