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Finding the Third Proportional to 237,506 and 355,072

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Solution

The third proportional to 237,506 and 355,072 is: 530,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,506 : 355,072 = 355,072 : x
  2. Step 2: Convert to fraction form
    237,506/355,072 = 355,072/x
  3. Step 3: Cross multiply
    237,506x = 355,072 × 355,072
  4. Step 4: Simplify right side
    237,506x = 126,076,125,184
  5. Step 5: Solve for x
    x = 126,076,125,184/237,506
  6. Step 6: Final answer
    x = 530,833.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.