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Finding the Third Proportional to 235,386 and 302,230.50

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Solution

The third proportional to 235,386 and 302,230.50 is: 388,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386 : 302,230.50 = 302,230.50 : x
  2. Step 2: Convert to fraction form
    235,386/302,230.50 = 302,230.50/x
  3. Step 3: Cross multiply
    235,386x = 302,230.50 × 302,230.50
  4. Step 4: Simplify right side
    235,386x = 91,343,275,130.25
  5. Step 5: Solve for x
    x = 91,343,275,130.25/235,386
  6. Step 6: Final answer
    x = 388,057.38

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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.