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Finding the Third Proportional to 153,607 and 336,737

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Solution

The third proportional to 153,607 and 336,737 is: 738,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607 : 336,737 = 336,737 : x
  2. Step 2: Convert to fraction form
    153,607/336,737 = 336,737/x
  3. Step 3: Cross multiply
    153,607x = 336,737 × 336,737
  4. Step 4: Simplify right side
    153,607x = 113,391,807,169
  5. Step 5: Solve for x
    x = 113,391,807,169/153,607
  6. Step 6: Final answer
    x = 738,194.27

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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.