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Finding the Third Proportional to 197,014 and 288,528

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Solution

The third proportional to 197,014 and 288,528 is: 422,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,014 : 288,528 = 288,528 : x
  2. Step 2: Convert to fraction form
    197,014/288,528 = 288,528/x
  3. Step 3: Cross multiply
    197,014x = 288,528 × 288,528
  4. Step 4: Simplify right side
    197,014x = 83,248,406,784
  5. Step 5: Solve for x
    x = 83,248,406,784/197,014
  6. Step 6: Final answer
    x = 422,550.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.