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Finding the Third Proportional to 153,117 and 224,329.50

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Solution

The third proportional to 153,117 and 224,329.50 is: 328,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,117 : 224,329.50 = 224,329.50 : x
  2. Step 2: Convert to fraction form
    153,117/224,329.50 = 224,329.50/x
  3. Step 3: Cross multiply
    153,117x = 224,329.50 × 224,329.50
  4. Step 4: Simplify right side
    153,117x = 50,323,724,570.25
  5. Step 5: Solve for x
    x = 50,323,724,570.25/153,117
  6. Step 6: Final answer
    x = 328,661.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.