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Finding the Third Proportional to 164,901.75 and 247,762.50

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Solution

The third proportional to 164,901.75 and 247,762.50 is: 372,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,901.75 : 247,762.50 = 247,762.50 : x
  2. Step 2: Convert to fraction form
    164,901.75/247,762.50 = 247,762.50/x
  3. Step 3: Cross multiply
    164,901.75x = 247,762.50 × 247,762.50
  4. Step 4: Simplify right side
    164,901.75x = 61,386,256,406.25
  5. Step 5: Solve for x
    x = 61,386,256,406.25/164,901.75
  6. Step 6: Final answer
    x = 372,259.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.