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Finding the Third Proportional to 176,530 and 261,365.63

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Solution

The third proportional to 176,530 and 261,365.63 is: 386,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,530 : 261,365.63 = 261,365.63 : x
  2. Step 2: Convert to fraction form
    176,530/261,365.63 = 261,365.63/x
  3. Step 3: Cross multiply
    176,530x = 261,365.63 × 261,365.63
  4. Step 4: Simplify right side
    176,530x = 68,311,989,931.64
  5. Step 5: Solve for x
    x = 68,311,989,931.64/176,530
  6. Step 6: Final answer
    x = 386,971.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.