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Finding the Third Proportional to 141,422.63 and 304,988.63

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Solution

The third proportional to 141,422.63 and 304,988.63 is: 657,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,422.63 : 304,988.63 = 304,988.63 : x
  2. Step 2: Convert to fraction form
    141,422.63/304,988.63 = 304,988.63/x
  3. Step 3: Cross multiply
    141,422.63x = 304,988.63 × 304,988.63
  4. Step 4: Simplify right side
    141,422.63x = 93,018,061,379.39
  5. Step 5: Solve for x
    x = 93,018,061,379.39/141,422.63
  6. Step 6: Final answer
    x = 657,731.12

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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.