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Finding the Third Proportional to 202,130 and 336,854

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Solution

The third proportional to 202,130 and 336,854 is: 561,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,130 : 336,854 = 336,854 : x
  2. Step 2: Convert to fraction form
    202,130/336,854 = 336,854/x
  3. Step 3: Cross multiply
    202,130x = 336,854 × 336,854
  4. Step 4: Simplify right side
    202,130x = 113,470,617,316
  5. Step 5: Solve for x
    x = 113,470,617,316/202,130
  6. Step 6: Final answer
    x = 561,374.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.