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Finding the Third Proportional to 114,004 and 249,464

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Solution

The third proportional to 114,004 and 249,464 is: 545,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,004 : 249,464 = 249,464 : x
  2. Step 2: Convert to fraction form
    114,004/249,464 = 249,464/x
  3. Step 3: Cross multiply
    114,004x = 249,464 × 249,464
  4. Step 4: Simplify right side
    114,004x = 62,232,287,296
  5. Step 5: Solve for x
    x = 62,232,287,296/114,004
  6. Step 6: Final answer
    x = 545,878.10

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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.