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Finding the Third Proportional to 176,409 and 265,009.50

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Solution

The third proportional to 176,409 and 265,009.50 is: 398,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,409 : 265,009.50 = 265,009.50 : x
  2. Step 2: Convert to fraction form
    176,409/265,009.50 = 265,009.50/x
  3. Step 3: Cross multiply
    176,409x = 265,009.50 × 265,009.50
  4. Step 4: Simplify right side
    176,409x = 70,230,035,090.25
  5. Step 5: Solve for x
    x = 70,230,035,090.25/176,409
  6. Step 6: Final answer
    x = 398,109.14

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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.