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Finding the Third Proportional to 164,810.53 and 349,854.19

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Solution

The third proportional to 164,810.53 and 349,854.19 is: 742,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,810.53 : 349,854.19 = 349,854.19 : x
  2. Step 2: Convert to fraction form
    164,810.53/349,854.19 = 349,854.19/x
  3. Step 3: Cross multiply
    164,810.53x = 349,854.19 × 349,854.19
  4. Step 4: Simplify right side
    164,810.53x = 122,397,952,511.29
  5. Step 5: Solve for x
    x = 122,397,952,511.29/164,810.53
  6. Step 6: Final answer
    x = 742,658.56

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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.