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Finding the Third Proportional to 243,095 and 384,621

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Solution

The third proportional to 243,095 and 384,621 is: 608,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,095 : 384,621 = 384,621 : x
  2. Step 2: Convert to fraction form
    243,095/384,621 = 384,621/x
  3. Step 3: Cross multiply
    243,095x = 384,621 × 384,621
  4. Step 4: Simplify right side
    243,095x = 147,933,313,641
  5. Step 5: Solve for x
    x = 147,933,313,641/243,095
  6. Step 6: Final answer
    x = 608,541.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.