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Finding the Third Proportional to 255,171 and 596,005.50

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Solution

The third proportional to 255,171 and 596,005.50 is: 1,392,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,171 : 596,005.50 = 596,005.50 : x
  2. Step 2: Convert to fraction form
    255,171/596,005.50 = 596,005.50/x
  3. Step 3: Cross multiply
    255,171x = 596,005.50 × 596,005.50
  4. Step 4: Simplify right side
    255,171x = 355,222,556,030.25
  5. Step 5: Solve for x
    x = 355,222,556,030.25/255,171
  6. Step 6: Final answer
    x = 1,392,096.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.