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Finding the Third Proportional to 141,599.81 and 307,852.31

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Solution

The third proportional to 141,599.81 and 307,852.31 is: 669,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,599.81 : 307,852.31 = 307,852.31 : x
  2. Step 2: Convert to fraction form
    141,599.81/307,852.31 = 307,852.31/x
  3. Step 3: Cross multiply
    141,599.81x = 307,852.31 × 307,852.31
  4. Step 4: Simplify right side
    141,599.81x = 94,773,046,311.60
  5. Step 5: Solve for x
    x = 94,773,046,311.60/141,599.81
  6. Step 6: Final answer
    x = 669,302.06

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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.