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Finding the Third Proportional to 357,041.25 and 553,196.25

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Solution

The third proportional to 357,041.25 and 553,196.25 is: 857,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041.25 : 553,196.25 = 553,196.25 : x
  2. Step 2: Convert to fraction form
    357,041.25/553,196.25 = 553,196.25/x
  3. Step 3: Cross multiply
    357,041.25x = 553,196.25 × 553,196.25
  4. Step 4: Simplify right side
    357,041.25x = 306,026,091,014.06
  5. Step 5: Solve for x
    x = 306,026,091,014.06/357,041.25
  6. Step 6: Final answer
    x = 857,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.