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Finding the Third Proportional to 249,544.50 and 383,955

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Solution

The third proportional to 249,544.50 and 383,955 is: 590,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,544.50 : 383,955 = 383,955 : x
  2. Step 2: Convert to fraction form
    249,544.50/383,955 = 383,955/x
  3. Step 3: Cross multiply
    249,544.50x = 383,955 × 383,955
  4. Step 4: Simplify right side
    249,544.50x = 147,421,442,025
  5. Step 5: Solve for x
    x = 147,421,442,025/249,544.50
  6. Step 6: Final answer
    x = 590,762.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.