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Finding the Third Proportional to 191,656.76 and 415,050.64

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Solution

The third proportional to 191,656.76 and 415,050.64 is: 898,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656.76 : 415,050.64 = 415,050.64 : x
  2. Step 2: Convert to fraction form
    191,656.76/415,050.64 = 415,050.64/x
  3. Step 3: Cross multiply
    191,656.76x = 415,050.64 × 415,050.64
  4. Step 4: Simplify right side
    191,656.76x = 172,267,037,525.81
  5. Step 5: Solve for x
    x = 172,267,037,525.81/191,656.76
  6. Step 6: Final answer
    x = 898,831.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.