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Finding the Third Proportional to 141,330.23 and 307,569.66

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Solution

The third proportional to 141,330.23 and 307,569.66 is: 669,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,330.23 : 307,569.66 = 307,569.66 : x
  2. Step 2: Convert to fraction form
    141,330.23/307,569.66 = 307,569.66/x
  3. Step 3: Cross multiply
    141,330.23x = 307,569.66 × 307,569.66
  4. Step 4: Simplify right side
    141,330.23x = 94,599,093,445.74
  5. Step 5: Solve for x
    x = 94,599,093,445.74/141,330.23
  6. Step 6: Final answer
    x = 669,347.88

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