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Finding the Third Proportional to 141,409.69 and 304,957.69

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Solution

The third proportional to 141,409.69 and 304,957.69 is: 657,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.69 : 304,957.69 = 304,957.69 : x
  2. Step 2: Convert to fraction form
    141,409.69/304,957.69 = 304,957.69/x
  3. Step 3: Cross multiply
    141,409.69x = 304,957.69 × 304,957.69
  4. Step 4: Simplify right side
    141,409.69x = 92,999,191,165.35
  5. Step 5: Solve for x
    x = 92,999,191,165.35/141,409.69
  6. Step 6: Final answer
    x = 657,657.85

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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.