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Finding the Third Proportional to 156,754 and 224,070

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Solution

The third proportional to 156,754 and 224,070 is: 320,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,754 : 224,070 = 224,070 : x
  2. Step 2: Convert to fraction form
    156,754/224,070 = 224,070/x
  3. Step 3: Cross multiply
    156,754x = 224,070 × 224,070
  4. Step 4: Simplify right side
    156,754x = 50,207,364,900
  5. Step 5: Solve for x
    x = 50,207,364,900/156,754
  6. Step 6: Final answer
    x = 320,294.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.