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Finding the Third Proportional to 201,368 and 470,300

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Solution

The third proportional to 201,368 and 470,300 is: 1,098,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,368 : 470,300 = 470,300 : x
  2. Step 2: Convert to fraction form
    201,368/470,300 = 470,300/x
  3. Step 3: Cross multiply
    201,368x = 470,300 × 470,300
  4. Step 4: Simplify right side
    201,368x = 221,182,090,000
  5. Step 5: Solve for x
    x = 221,182,090,000/201,368
  6. Step 6: Final answer
    x = 1,098,397.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.