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Finding the Third Proportional to 164,845.13 and 260,389.69

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Solution

The third proportional to 164,845.13 and 260,389.69 is: 411,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 260,389.69 = 260,389.69 : x
  2. Step 2: Convert to fraction form
    164,845.13/260,389.69 = 260,389.69/x
  3. Step 3: Cross multiply
    164,845.13x = 260,389.69 × 260,389.69
  4. Step 4: Simplify right side
    164,845.13x = 67,802,789,356.35
  5. Step 5: Solve for x
    x = 67,802,789,356.35/164,845.13
  6. Step 6: Final answer
    x = 411,312.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.