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Finding the Third Proportional to 192,547.13 and 289,418.06

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Solution

The third proportional to 192,547.13 and 289,418.06 is: 435,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,547.13 : 289,418.06 = 289,418.06 : x
  2. Step 2: Convert to fraction form
    192,547.13/289,418.06 = 289,418.06/x
  3. Step 3: Cross multiply
    192,547.13x = 289,418.06 × 289,418.06
  4. Step 4: Simplify right side
    192,547.13x = 83,762,814,901.25
  5. Step 5: Solve for x
    x = 83,762,814,901.25/192,547.13
  6. Step 6: Final answer
    x = 435,025.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.