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Finding the Third Proportional to 243,788 and 370,386

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Solution

The third proportional to 243,788 and 370,386 is: 562,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,788 : 370,386 = 370,386 : x
  2. Step 2: Convert to fraction form
    243,788/370,386 = 370,386/x
  3. Step 3: Cross multiply
    243,788x = 370,386 × 370,386
  4. Step 4: Simplify right side
    243,788x = 137,185,788,996
  5. Step 5: Solve for x
    x = 137,185,788,996/243,788
  6. Step 6: Final answer
    x = 562,725.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.