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Finding the Third Proportional to 141,347.25 and 304,837.50

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Solution

The third proportional to 141,347.25 and 304,837.50 is: 657,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,347.25 : 304,837.50 = 304,837.50 : x
  2. Step 2: Convert to fraction form
    141,347.25/304,837.50 = 304,837.50/x
  3. Step 3: Cross multiply
    141,347.25x = 304,837.50 × 304,837.50
  4. Step 4: Simplify right side
    141,347.25x = 92,925,901,406.25
  5. Step 5: Solve for x
    x = 92,925,901,406.25/141,347.25
  6. Step 6: Final answer
    x = 657,429.85

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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.