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Finding the Third Proportional to 151,567.03 and 210,739.64

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Solution

The third proportional to 151,567.03 and 210,739.64 is: 293,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,567.03 : 210,739.64 = 210,739.64 : x
  2. Step 2: Convert to fraction form
    151,567.03/210,739.64 = 210,739.64/x
  3. Step 3: Cross multiply
    151,567.03x = 210,739.64 × 210,739.64
  4. Step 4: Simplify right side
    151,567.03x = 44,411,196,130.75
  5. Step 5: Solve for x
    x = 44,411,196,130.75/151,567.03
  6. Step 6: Final answer
    x = 293,013.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.