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Finding the Third Proportional to 109,368 and 235,984

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Solution

The third proportional to 109,368 and 235,984 is: 509,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 235,984 = 235,984 : x
  2. Step 2: Convert to fraction form
    109,368/235,984 = 235,984/x
  3. Step 3: Cross multiply
    109,368x = 235,984 × 235,984
  4. Step 4: Simplify right side
    109,368x = 55,688,448,256
  5. Step 5: Solve for x
    x = 55,688,448,256/109,368
  6. Step 6: Final answer
    x = 509,184.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.