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Finding the Third Proportional to 112,970 and 243,428

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Solution

The third proportional to 112,970 and 243,428 is: 524,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970 : 243,428 = 243,428 : x
  2. Step 2: Convert to fraction form
    112,970/243,428 = 243,428/x
  3. Step 3: Cross multiply
    112,970x = 243,428 × 243,428
  4. Step 4: Simplify right side
    112,970x = 59,257,191,184
  5. Step 5: Solve for x
    x = 59,257,191,184/112,970
  6. Step 6: Final answer
    x = 524,539.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.