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Finding the Third Proportional to 135,976.50 and 294,547.50

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Solution

The third proportional to 135,976.50 and 294,547.50 is: 638,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976.50 : 294,547.50 = 294,547.50 : x
  2. Step 2: Convert to fraction form
    135,976.50/294,547.50 = 294,547.50/x
  3. Step 3: Cross multiply
    135,976.50x = 294,547.50 × 294,547.50
  4. Step 4: Simplify right side
    135,976.50x = 86,758,229,756.25
  5. Step 5: Solve for x
    x = 86,758,229,756.25/135,976.50
  6. Step 6: Final answer
    x = 638,038.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.