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Finding the Third Proportional to 201,004 and 425,335

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Solution

The third proportional to 201,004 and 425,335 is: 900,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,004 : 425,335 = 425,335 : x
  2. Step 2: Convert to fraction form
    201,004/425,335 = 425,335/x
  3. Step 3: Cross multiply
    201,004x = 425,335 × 425,335
  4. Step 4: Simplify right side
    201,004x = 180,909,862,225
  5. Step 5: Solve for x
    x = 180,909,862,225/201,004
  6. Step 6: Final answer
    x = 900,031.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.