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Finding the Third Proportional to 141,407.25 and 304,953.75

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Solution

The third proportional to 141,407.25 and 304,953.75 is: 657,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.25 : 304,953.75 = 304,953.75 : x
  2. Step 2: Convert to fraction form
    141,407.25/304,953.75 = 304,953.75/x
  3. Step 3: Cross multiply
    141,407.25x = 304,953.75 × 304,953.75
  4. Step 4: Simplify right side
    141,407.25x = 92,996,789,639.06
  5. Step 5: Solve for x
    x = 92,996,789,639.06/141,407.25
  6. Step 6: Final answer
    x = 657,652.20

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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.