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Finding the Third Proportional to 152,283 and 224,010

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Solution

The third proportional to 152,283 and 224,010 is: 329,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,283 : 224,010 = 224,010 : x
  2. Step 2: Convert to fraction form
    152,283/224,010 = 224,010/x
  3. Step 3: Cross multiply
    152,283x = 224,010 × 224,010
  4. Step 4: Simplify right side
    152,283x = 50,180,480,100
  5. Step 5: Solve for x
    x = 50,180,480,100/152,283
  6. Step 6: Final answer
    x = 329,521.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.