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Finding the Third Proportional to 201,332 and 302,502

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Solution

The third proportional to 201,332 and 302,502 is: 454,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,332 : 302,502 = 302,502 : x
  2. Step 2: Convert to fraction form
    201,332/302,502 = 302,502/x
  3. Step 3: Cross multiply
    201,332x = 302,502 × 302,502
  4. Step 4: Simplify right side
    201,332x = 91,507,460,004
  5. Step 5: Solve for x
    x = 91,507,460,004/201,332
  6. Step 6: Final answer
    x = 454,510.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.