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Finding the Third Proportional to 156,770 and 336,004

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Solution

The third proportional to 156,770 and 336,004 is: 720,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 336,004 = 336,004 : x
  2. Step 2: Convert to fraction form
    156,770/336,004 = 336,004/x
  3. Step 3: Cross multiply
    156,770x = 336,004 × 336,004
  4. Step 4: Simplify right side
    156,770x = 112,898,688,016
  5. Step 5: Solve for x
    x = 112,898,688,016/156,770
  6. Step 6: Final answer
    x = 720,154.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.