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Finding the Third Proportional to 152,722 and 224,506

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Solution

The third proportional to 152,722 and 224,506 is: 330,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,722 : 224,506 = 224,506 : x
  2. Step 2: Convert to fraction form
    152,722/224,506 = 224,506/x
  3. Step 3: Cross multiply
    152,722x = 224,506 × 224,506
  4. Step 4: Simplify right side
    152,722x = 50,402,944,036
  5. Step 5: Solve for x
    x = 50,402,944,036/152,722
  6. Step 6: Final answer
    x = 330,030.67

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Why These Related Problems?

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