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Finding the Third Proportional to 93,468 and 210,342

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Solution

The third proportional to 93,468 and 210,342 is: 473,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,468 : 210,342 = 210,342 : x
  2. Step 2: Convert to fraction form
    93,468/210,342 = 210,342/x
  3. Step 3: Cross multiply
    93,468x = 210,342 × 210,342
  4. Step 4: Simplify right side
    93,468x = 44,243,756,964
  5. Step 5: Solve for x
    x = 44,243,756,964/93,468
  6. Step 6: Final answer
    x = 473,357.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.