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Finding the Third Proportional to 242,068 and 373,310

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Solution

The third proportional to 242,068 and 373,310 is: 575,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,068 : 373,310 = 373,310 : x
  2. Step 2: Convert to fraction form
    242,068/373,310 = 373,310/x
  3. Step 3: Cross multiply
    242,068x = 373,310 × 373,310
  4. Step 4: Simplify right side
    242,068x = 139,360,356,100
  5. Step 5: Solve for x
    x = 139,360,356,100/242,068
  6. Step 6: Final answer
    x = 575,707.47

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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.