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Finding the Third Proportional to 246,148 and 537,853

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Solution

The third proportional to 246,148 and 537,853 is: 1,175,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,148 : 537,853 = 537,853 : x
  2. Step 2: Convert to fraction form
    246,148/537,853 = 537,853/x
  3. Step 3: Cross multiply
    246,148x = 537,853 × 537,853
  4. Step 4: Simplify right side
    246,148x = 289,285,849,609
  5. Step 5: Solve for x
    x = 289,285,849,609/246,148
  6. Step 6: Final answer
    x = 1,175,251.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.