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Finding the Third Proportional to 141,308.30 and 191,886.47

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Solution

The third proportional to 141,308.30 and 191,886.47 is: 260,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,308.30 : 191,886.47 = 191,886.47 : x
  2. Step 2: Convert to fraction form
    141,308.30/191,886.47 = 191,886.47/x
  3. Step 3: Cross multiply
    141,308.30x = 191,886.47 × 191,886.47
  4. Step 4: Simplify right side
    141,308.30x = 36,820,416,889.34
  5. Step 5: Solve for x
    x = 36,820,416,889.34/141,308.30
  6. Step 6: Final answer
    x = 260,567.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.