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Finding the Third Proportional to 246,164 and 535,528

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Solution

The third proportional to 246,164 and 535,528 is: 1,165,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,164 : 535,528 = 535,528 : x
  2. Step 2: Convert to fraction form
    246,164/535,528 = 535,528/x
  3. Step 3: Cross multiply
    246,164x = 535,528 × 535,528
  4. Step 4: Simplify right side
    246,164x = 286,790,238,784
  5. Step 5: Solve for x
    x = 286,790,238,784/246,164
  6. Step 6: Final answer
    x = 1,165,037.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.