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Finding the Third Proportional to 106,547 and 229,701

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Solution

The third proportional to 106,547 and 229,701 is: 495,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547 : 229,701 = 229,701 : x
  2. Step 2: Convert to fraction form
    106,547/229,701 = 229,701/x
  3. Step 3: Cross multiply
    106,547x = 229,701 × 229,701
  4. Step 4: Simplify right side
    106,547x = 52,762,549,401
  5. Step 5: Solve for x
    x = 52,762,549,401/106,547
  6. Step 6: Final answer
    x = 495,204.46

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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.