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Finding the Third Proportional to 149,547 and 229,863.75

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Solution

The third proportional to 149,547 and 229,863.75 is: 353,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547 : 229,863.75 = 229,863.75 : x
  2. Step 2: Convert to fraction form
    149,547/229,863.75 = 229,863.75/x
  3. Step 3: Cross multiply
    149,547x = 229,863.75 × 229,863.75
  4. Step 4: Simplify right side
    149,547x = 52,837,343,564.06
  5. Step 5: Solve for x
    x = 52,837,343,564.06/149,547
  6. Step 6: Final answer
    x = 353,315.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.