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Finding the Third Proportional to 242,588.25 and 347,368.50

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Solution

The third proportional to 242,588.25 and 347,368.50 is: 497,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,588.25 : 347,368.50 = 347,368.50 : x
  2. Step 2: Convert to fraction form
    242,588.25/347,368.50 = 347,368.50/x
  3. Step 3: Cross multiply
    242,588.25x = 347,368.50 × 347,368.50
  4. Step 4: Simplify right side
    242,588.25x = 120,664,874,792.25
  5. Step 5: Solve for x
    x = 120,664,874,792.25/242,588.25
  6. Step 6: Final answer
    x = 497,406.10

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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.