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Finding the Third Proportional to 235,444.50 and 302,308.50

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Solution

The third proportional to 235,444.50 and 302,308.50 is: 388,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,444.50 : 302,308.50 = 302,308.50 : x
  2. Step 2: Convert to fraction form
    235,444.50/302,308.50 = 302,308.50/x
  3. Step 3: Cross multiply
    235,444.50x = 302,308.50 × 302,308.50
  4. Step 4: Simplify right side
    235,444.50x = 91,390,429,172.25
  5. Step 5: Solve for x
    x = 91,390,429,172.25/235,444.50
  6. Step 6: Final answer
    x = 388,161.24

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.