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Finding the Third Proportional to 200,728.13 and 293,554.13

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Solution

The third proportional to 200,728.13 and 293,554.13 is: 429,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.13 : 293,554.13 = 293,554.13 : x
  2. Step 2: Convert to fraction form
    200,728.13/293,554.13 = 293,554.13/x
  3. Step 3: Cross multiply
    200,728.13x = 293,554.13 × 293,554.13
  4. Step 4: Simplify right side
    200,728.13x = 86,174,024,304.52
  5. Step 5: Solve for x
    x = 86,174,024,304.52/200,728.13
  6. Step 6: Final answer
    x = 429,307.18

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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.