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Finding the Third Proportional to 141,302.81 and 304,743.56

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Solution

The third proportional to 141,302.81 and 304,743.56 is: 657,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,302.81 : 304,743.56 = 304,743.56 : x
  2. Step 2: Convert to fraction form
    141,302.81/304,743.56 = 304,743.56/x
  3. Step 3: Cross multiply
    141,302.81x = 304,743.56 × 304,743.56
  4. Step 4: Simplify right side
    141,302.81x = 92,868,638,885.19
  5. Step 5: Solve for x
    x = 92,868,638,885.19/141,302.81
  6. Step 6: Final answer
    x = 657,231.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.