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Finding the Third Proportional to 242,191 and 373,506

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Solution

The third proportional to 242,191 and 373,506 is: 576,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,191 : 373,506 = 373,506 : x
  2. Step 2: Convert to fraction form
    242,191/373,506 = 373,506/x
  3. Step 3: Cross multiply
    242,191x = 373,506 × 373,506
  4. Step 4: Simplify right side
    242,191x = 139,506,732,036
  5. Step 5: Solve for x
    x = 139,506,732,036/242,191
  6. Step 6: Final answer
    x = 576,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.