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Finding the Third Proportional to 200,437.03 and 432,203.34

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Solution

The third proportional to 200,437.03 and 432,203.34 is: 931,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,437.03 : 432,203.34 = 432,203.34 : x
  2. Step 2: Convert to fraction form
    200,437.03/432,203.34 = 432,203.34/x
  3. Step 3: Cross multiply
    200,437.03x = 432,203.34 × 432,203.34
  4. Step 4: Simplify right side
    200,437.03x = 186,799,730,348.68
  5. Step 5: Solve for x
    x = 186,799,730,348.68/200,437.03
  6. Step 6: Final answer
    x = 931,962.17

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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.