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Finding the Third Proportional to 164,404.69 and 355,038.19

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Solution

The third proportional to 164,404.69 and 355,038.19 is: 766,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,404.69 : 355,038.19 = 355,038.19 : x
  2. Step 2: Convert to fraction form
    164,404.69/355,038.19 = 355,038.19/x
  3. Step 3: Cross multiply
    164,404.69x = 355,038.19 × 355,038.19
  4. Step 4: Simplify right side
    164,404.69x = 126,052,114,583.29
  5. Step 5: Solve for x
    x = 126,052,114,583.29/164,404.69
  6. Step 6: Final answer
    x = 766,718.50

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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.