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Finding the Third Proportional to 141,148 and 304,461

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Solution

The third proportional to 141,148 and 304,461 is: 656,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,148 : 304,461 = 304,461 : x
  2. Step 2: Convert to fraction form
    141,148/304,461 = 304,461/x
  3. Step 3: Cross multiply
    141,148x = 304,461 × 304,461
  4. Step 4: Simplify right side
    141,148x = 92,696,500,521
  5. Step 5: Solve for x
    x = 92,696,500,521/141,148
  6. Step 6: Final answer
    x = 656,732.65

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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.