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Finding the Third Proportional to 145,160 and 224,300

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Solution

The third proportional to 145,160 and 224,300 is: 346,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160 : 224,300 = 224,300 : x
  2. Step 2: Convert to fraction form
    145,160/224,300 = 224,300/x
  3. Step 3: Cross multiply
    145,160x = 224,300 × 224,300
  4. Step 4: Simplify right side
    145,160x = 50,310,490,000
  5. Step 5: Solve for x
    x = 50,310,490,000/145,160
  6. Step 6: Final answer
    x = 346,586.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.