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Finding the Third Proportional to 164,052 and 353,710.13

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Solution

The third proportional to 164,052 and 353,710.13 is: 762,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052 : 353,710.13 = 353,710.13 : x
  2. Step 2: Convert to fraction form
    164,052/353,710.13 = 353,710.13/x
  3. Step 3: Cross multiply
    164,052x = 353,710.13 × 353,710.13
  4. Step 4: Simplify right side
    164,052x = 125,110,852,527.52
  5. Step 5: Solve for x
    x = 125,110,852,527.52/164,052
  6. Step 6: Final answer
    x = 762,629.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.