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Finding the Third Proportional to 224,570.81 and 357,140.81

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Solution

The third proportional to 224,570.81 and 357,140.81 is: 567,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,570.81 : 357,140.81 = 357,140.81 : x
  2. Step 2: Convert to fraction form
    224,570.81/357,140.81 = 357,140.81/x
  3. Step 3: Cross multiply
    224,570.81x = 357,140.81 × 357,140.81
  4. Step 4: Simplify right side
    224,570.81x = 127,549,559,953.16
  5. Step 5: Solve for x
    x = 127,549,559,953.16/224,570.81
  6. Step 6: Final answer
    x = 567,970.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.