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Finding the Third Proportional to 145,368 and 318,384

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Solution

The third proportional to 145,368 and 318,384 is: 697,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,368 : 318,384 = 318,384 : x
  2. Step 2: Convert to fraction form
    145,368/318,384 = 318,384/x
  3. Step 3: Cross multiply
    145,368x = 318,384 × 318,384
  4. Step 4: Simplify right side
    145,368x = 101,368,371,456
  5. Step 5: Solve for x
    x = 101,368,371,456/145,368
  6. Step 6: Final answer
    x = 697,322.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.