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Finding the Third Proportional to 149,308 and 316,111

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Solution

The third proportional to 149,308 and 316,111 is: 669,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,308 : 316,111 = 316,111 : x
  2. Step 2: Convert to fraction form
    149,308/316,111 = 316,111/x
  3. Step 3: Cross multiply
    149,308x = 316,111 × 316,111
  4. Step 4: Simplify right side
    149,308x = 99,926,164,321
  5. Step 5: Solve for x
    x = 99,926,164,321/149,308
  6. Step 6: Final answer
    x = 669,261.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.