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Finding the Third Proportional to 141,507 and 307,998

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Solution

The third proportional to 141,507 and 307,998 is: 670,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,507 : 307,998 = 307,998 : x
  2. Step 2: Convert to fraction form
    141,507/307,998 = 307,998/x
  3. Step 3: Cross multiply
    141,507x = 307,998 × 307,998
  4. Step 4: Simplify right side
    141,507x = 94,862,768,004
  5. Step 5: Solve for x
    x = 94,862,768,004/141,507
  6. Step 6: Final answer
    x = 670,375.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.