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Finding the Third Proportional to 164,904.75 and 252,688.50

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Solution

The third proportional to 164,904.75 and 252,688.50 is: 387,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904.75 : 252,688.50 = 252,688.50 : x
  2. Step 2: Convert to fraction form
    164,904.75/252,688.50 = 252,688.50/x
  3. Step 3: Cross multiply
    164,904.75x = 252,688.50 × 252,688.50
  4. Step 4: Simplify right side
    164,904.75x = 63,851,478,032.25
  5. Step 5: Solve for x
    x = 63,851,478,032.25/164,904.75
  6. Step 6: Final answer
    x = 387,202.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.