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Finding the Third Proportional to 200,335 and 432,270

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Solution

The third proportional to 200,335 and 432,270 is: 932,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,335 : 432,270 = 432,270 : x
  2. Step 2: Convert to fraction form
    200,335/432,270 = 432,270/x
  3. Step 3: Cross multiply
    200,335x = 432,270 × 432,270
  4. Step 4: Simplify right side
    200,335x = 186,857,352,900
  5. Step 5: Solve for x
    x = 186,857,352,900/200,335
  6. Step 6: Final answer
    x = 932,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.