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Finding the Third Proportional to 243,160 and 379,506

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Solution

The third proportional to 243,160 and 379,506 is: 592,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,160 : 379,506 = 379,506 : x
  2. Step 2: Convert to fraction form
    243,160/379,506 = 379,506/x
  3. Step 3: Cross multiply
    243,160x = 379,506 × 379,506
  4. Step 4: Simplify right side
    243,160x = 144,024,804,036
  5. Step 5: Solve for x
    x = 144,024,804,036/243,160
  6. Step 6: Final answer
    x = 592,304.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.