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Finding the Third Proportional to 200,723 and 293,547

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Solution

The third proportional to 200,723 and 293,547 is: 429,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 293,547 = 293,547 : x
  2. Step 2: Convert to fraction form
    200,723/293,547 = 293,547/x
  3. Step 3: Cross multiply
    200,723x = 293,547 × 293,547
  4. Step 4: Simplify right side
    200,723x = 86,169,841,209
  5. Step 5: Solve for x
    x = 86,169,841,209/200,723
  6. Step 6: Final answer
    x = 429,297.30

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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.