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Finding the Third Proportional to 103,492.69 and 160,314.19

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Solution

The third proportional to 103,492.69 and 160,314.19 is: 248,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,492.69 : 160,314.19 = 160,314.19 : x
  2. Step 2: Convert to fraction form
    103,492.69/160,314.19 = 160,314.19/x
  3. Step 3: Cross multiply
    103,492.69x = 160,314.19 × 160,314.19
  4. Step 4: Simplify right side
    103,492.69x = 25,700,638,713.79
  5. Step 5: Solve for x
    x = 25,700,638,713.79/103,492.69
  6. Step 6: Final answer
    x = 248,332.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.