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Finding the Third Proportional to 93,240 and 207,528

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Solution

The third proportional to 93,240 and 207,528 is: 461,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,240 : 207,528 = 207,528 : x
  2. Step 2: Convert to fraction form
    93,240/207,528 = 207,528/x
  3. Step 3: Cross multiply
    93,240x = 207,528 × 207,528
  4. Step 4: Simplify right side
    93,240x = 43,067,870,784
  5. Step 5: Solve for x
    x = 43,067,870,784/93,240
  6. Step 6: Final answer
    x = 461,903.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.