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Finding the Third Proportional to 156,952 and 333,506

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Solution

The third proportional to 156,952 and 333,506 is: 708,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 333,506 = 333,506 : x
  2. Step 2: Convert to fraction form
    156,952/333,506 = 333,506/x
  3. Step 3: Cross multiply
    156,952x = 333,506 × 333,506
  4. Step 4: Simplify right side
    156,952x = 111,226,252,036
  5. Step 5: Solve for x
    x = 111,226,252,036/156,952
  6. Step 6: Final answer
    x = 708,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.