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Finding the Third Proportional to 176,543 and 392,316

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Solution

The third proportional to 176,543 and 392,316 is: 871,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543 : 392,316 = 392,316 : x
  2. Step 2: Convert to fraction form
    176,543/392,316 = 392,316/x
  3. Step 3: Cross multiply
    176,543x = 392,316 × 392,316
  4. Step 4: Simplify right side
    176,543x = 153,911,843,856
  5. Step 5: Solve for x
    x = 153,911,843,856/176,543
  6. Step 6: Final answer
    x = 871,809.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.